04 - Simplify Fractions to Lowest Terms (Simplifying & Reducing Fractions) - Part 2 - By Math and Science
Transcript
| 00:00 | Hello . Welcome back . We're working on simplifying fractions | |
| 00:03 | . This is part two . So in the last | |
| 00:05 | lesson we have learned that to simplify a fraction into | |
| 00:08 | what we call lowest terms or simplest form . All | |
| 00:11 | you have to do is pick a number that you | |
| 00:12 | can divide the top by and the bottom by the | |
| 00:15 | numerator and the denominator divided by the same number and | |
| 00:19 | simplify the fraction . So you have to divide by | |
| 00:21 | the same number on the top and the bottom that | |
| 00:23 | divides evenly . So what you do is try to | |
| 00:27 | pick the largest number that you can divide into the | |
| 00:29 | top and the bottom and that will give you the | |
| 00:31 | smallest number of steps . But even if you don't | |
| 00:34 | pick the perfect number , just pick anything that you | |
| 00:36 | can divide the top and the bottom into . And | |
| 00:38 | eventually you will get down to the simplest form or | |
| 00:41 | lowest terms . So let's talk about that by going | |
| 00:44 | over a concrete example , let's say I give you | |
| 00:46 | the fraction 15/30 , what does this mean ? It | |
| 00:50 | means if I take a pizza and cut it into | |
| 00:53 | 30 pieces , that's a lot of tiny pieces , | |
| 00:55 | right ? And I take 15 of those pieces . | |
| 00:58 | That is the fraction that I have . So , | |
| 01:00 | we want to simplify that amount of pizza to a | |
| 01:03 | simpler form , but it's going to represent the same | |
| 01:05 | amount of pizza is what we have here . So | |
| 01:07 | , we want to pick a number that we can | |
| 01:09 | divide the top and the bottom evenly . So what | |
| 01:12 | we're gonna do is we're gonna rewrite the fraction 15 | |
| 01:15 | 30th , But we're going to extend this guy . | |
| 01:18 | So we're going to extend the fraction bar and we | |
| 01:21 | want to divide the top and the bottom by some | |
| 01:22 | number . Now we have 15 and we have 30 | |
| 01:25 | . We know from 5 , 10 15 2025 30 | |
| 01:28 | 35 40 . We know that we can divide top | |
| 01:31 | and bottom by five . All right . So let's | |
| 01:34 | do that . Because immediately we see we know we | |
| 01:36 | can divide the top by five and we can divide | |
| 01:39 | the bottom by five . So what happens if we | |
| 01:42 | do that ? 15 divided by five is three ? | |
| 01:46 | How do I know that ? Because three times five | |
| 01:48 | is 15 , right ? 30 ? Divided by five | |
| 01:51 | is six . How do I know that ? Because | |
| 01:53 | six times five is 30 . Right ? So I've | |
| 01:56 | divided the top and I've divided the bottom and I | |
| 01:58 | get an answer of 3/6 . But I look at | |
| 02:00 | this answer and I say , is this the lowest | |
| 02:03 | terms ? Is this the simplest form ? In other | |
| 02:06 | words , can I divide 36 by something on the | |
| 02:09 | top and something on the bottom dividing evenly to make | |
| 02:12 | this fraction even simpler . And the answer is yes | |
| 02:15 | . I can divide the top by three and I | |
| 02:17 | can also divide the bottom by three . Notice that | |
| 02:20 | first I divided the top and bottom by five . | |
| 02:22 | I did it the same number top and bottom . | |
| 02:24 | That's totally legal . Now here I look and say | |
| 02:26 | can I divide the top and bottom by something ? | |
| 02:28 | I'm gonna pick the number three because I can divide | |
| 02:30 | the top by three in the bottom by three . | |
| 02:32 | So let me start over here by 36 and we're | |
| 02:36 | going to extend this guy and we're going to divide | |
| 02:39 | the top by three and the bottom by three . | |
| 02:43 | What do I get ? Three divided by three is | |
| 02:45 | one because one times three is three and then six | |
| 02:49 | divided by three . Is to why ? Because two | |
| 02:52 | times three is six . So this is what we | |
| 02:55 | call lowest terms because this means I've have half of | |
| 03:00 | the pizza which I'm saying is exactly the same thing | |
| 03:03 | is taking 15 out of 30 slices . If I | |
| 03:05 | slice a pizza into 30 pieces and I take 15 | |
| 03:08 | of them , I get exactly the same amount of | |
| 03:11 | actual food . And if I take a pizza and | |
| 03:13 | cut it into two pieces and only take half and | |
| 03:16 | notice that along the way we went through this fraction | |
| 03:20 | right here , 336 which were also saying is the | |
| 03:23 | same . So let's go and check this . Uh | |
| 03:25 | one half is if I were to take a pizza | |
| 03:29 | and cut it into two pieces , right ? But | |
| 03:31 | I only have one of those pieces , so that's | |
| 03:33 | how much I have . This is what we call | |
| 03:35 | half of a pizza , right ? Is it the | |
| 03:37 | same as 36 here ? So let me go ahead | |
| 03:40 | and make a pizza , cutting it into six equal | |
| 03:44 | pieces here , and let's see how much we have | |
| 03:47 | here . So let me kind of put them all | |
| 03:48 | together , so that's a whole pizza . But we | |
| 03:49 | only have we cut them into six pieces , but | |
| 03:52 | we only have three of those pieces . 123 that's | |
| 03:55 | what we have the rest of it , I'm gonna | |
| 03:57 | throw it away . And what we're claiming is that | |
| 03:59 | 363 out of six pieces is the same as one | |
| 04:02 | out of two . And you can see that that's | |
| 04:04 | exactly the same amount of pizza . These two fractions | |
| 04:07 | are exactly the same thing and they're also the same | |
| 04:11 | thing as 15 out of 30 . I don't have | |
| 04:13 | a magnet that was sliced into 30 pieces and see | |
| 04:16 | this is sliced into six pieces . I don't have | |
| 04:19 | a magnet to show you sliced into 30 pieces , | |
| 04:21 | but if I did have a magnet sliced into 30 | |
| 04:24 | tiny little pieces , but I took 15 of them | |
| 04:27 | , it would be exactly the same amount of pizza | |
| 04:29 | . Is this ? So what we have figured out | |
| 04:31 | is that 15 30th is exactly the same as 3/6 | |
| 04:37 | and that's also exactly the same as one half . | |
| 04:40 | But one half is the lowest terms or the simplest | |
| 04:43 | form because I cannot divide anything top and bottom to | |
| 04:46 | make this any simpler . I can't think of a | |
| 04:48 | number to make it any simpler than that . So | |
| 04:51 | I'm done . So when I get to this step | |
| 04:53 | I try and divide . In this time I pick | |
| 04:55 | three and then I get to simplest form . Now | |
| 04:59 | I want to solve the problem one more time . | |
| 05:01 | Let's talk about 15 30th and let's think about this | |
| 05:05 | again . Right in this case I knew it divided | |
| 05:09 | by five and five . So that's what I did | |
| 05:11 | and then I did the process again . But is | |
| 05:13 | there a different number that I could divide the top | |
| 05:15 | and the bottom by a larger number than dividing by | |
| 05:19 | five ? Is there anything else you can think of | |
| 05:21 | ? It might take you a minute . But if | |
| 05:22 | you actually divide the top by 15 And also divide | |
| 05:27 | the bottom by 15 , right ? Then actually 15 | |
| 05:31 | divided by 15 is one and 30 divided by 15 | |
| 05:35 | is actually too because if you take two and multiply | |
| 05:38 | it by 15 , you're actually going to get 30 | |
| 05:41 | . I know some of you may not have remembered | |
| 05:44 | that or know that , But if you go off | |
| 05:46 | to the side and take 15 times two You're going | |
| 05:49 | to get 30 . So you see if I think | |
| 05:52 | in my mind if I if I pick the largest | |
| 05:54 | number two , divide by then in this case I'm | |
| 05:57 | going to come up with dividing 15 , divided by | |
| 05:59 | 15 . I'm going to get one half as the | |
| 06:00 | answer in only one step , right ? And I | |
| 06:04 | notice it's the same exact answer as I got before | |
| 06:06 | . But if you don't remember that you can divide | |
| 06:08 | by 15 or you just don't know right , then | |
| 06:11 | pick any number you want that goes evenly into the | |
| 06:13 | top and the bottom and you're gonna get some answer | |
| 06:15 | and then you ask yourself , can I do it | |
| 06:17 | again , Can I pick another number and divide it | |
| 06:19 | again ? And in this case I pick three and | |
| 06:21 | I get down to the exact same answer . So | |
| 06:23 | my point is is I don't care what you divide | |
| 06:26 | the top and the bottom by . Actually you're going | |
| 06:28 | to save steps . If you can pick the biggest | |
| 06:30 | number , you can divide the top and the bottom | |
| 06:32 | by because it only took one step here . But | |
| 06:35 | if you don't remember that and you have to do | |
| 06:36 | it multiple times . Just keep asking yourself can I | |
| 06:39 | simplify it again ? Can I simplify it again and | |
| 06:42 | so on ? Eventually you will get to exactly the | |
| 06:44 | same answer . All right . Exactly the same answer | |
| 06:48 | . So , let's go and uh crank through a | |
| 06:51 | bunch of additional problems and see if we can get | |
| 06:53 | some more practice . Let's say that we have the | |
| 06:56 | number 18 the fraction 18 2021st , or 1821 . | |
| 07:03 | However , you want to say it ? All right | |
| 07:04 | . Um What we have here is a pizza cut | |
| 07:07 | into 21 pieces and we have 18 of those slices | |
| 07:10 | . So we need to think of a number that | |
| 07:13 | we can divide the top and the bottom by any | |
| 07:16 | number that we want . Uh But it's gonna save | |
| 07:18 | us time if we can come up with the biggest | |
| 07:20 | number and we want to divide the top and the | |
| 07:22 | bottom by the same number . If we divide by | |
| 07:25 | two , this is an even number . So it | |
| 07:27 | will divide by two . But this one will not | |
| 07:28 | divide by two . But then we think about it | |
| 07:30 | and we say , well actually we can divide this | |
| 07:32 | by three and we can divide this also by three | |
| 07:35 | . What is 18 divided by 3 , 18 divided | |
| 07:38 | by three is six because six times three is 18 | |
| 07:42 | , 21 , divided by three is actually seven because | |
| 07:44 | seven times three is 21 . And so we get | |
| 07:47 | down to this and we ask ourselves can we simplify | |
| 07:49 | this further , cannot divide the top and the bottom | |
| 07:52 | by something to make these numbers simpler . And I | |
| 07:54 | can't there is no way to make that simpler . | |
| 07:56 | So , the answer is 6/7 . Yeah . All | |
| 08:01 | right . Let's take a look at the fraction . | |
| 08:04 | 26th . 26th . So we rewrite the fraction as | |
| 08:08 | 10 16 . Give us a little more room and | |
| 08:12 | we ask ourselves All right , what can we divide | |
| 08:14 | the top and the bottom by ? Well , we | |
| 08:15 | immediately see these are both even numbers . So we | |
| 08:18 | know that I can divide the top by two and | |
| 08:20 | I can divide the bottom by two . For sure | |
| 08:23 | . 10 divided by two is five because five times | |
| 08:26 | two is 10 16 divided by two is eight because | |
| 08:30 | eight times two is 16 . And so I get | |
| 08:33 | the answer . Five eights . This is the final | |
| 08:35 | answer . Because I ask myself can I make this | |
| 08:37 | simpler ? Can I divide the top and the bottom | |
| 08:40 | by a different number ? By ? Well , by | |
| 08:42 | the same number , divide five by the same number | |
| 08:45 | . And divide it by the same number . And | |
| 08:47 | get it simpler . And I can't There's nothing I | |
| 08:49 | can pick . So this is called simplest form or | |
| 08:51 | lowest terms . All right , then . Of course | |
| 08:55 | we come across this problem that we've just done . | |
| 08:58 | Which I've already I actually solved that one first because | |
| 09:00 | I wanted to use the magnets for it . Let's | |
| 09:02 | take a look at the fraction . 12 21st . | |
| 09:07 | 21st . All right . So we rewrite it 12 | |
| 09:10 | 21st and we ask ourselves what can we divide top | |
| 09:13 | and bottom by . Can we divide by two ? | |
| 09:15 | Well , we really can't because 21 divided by two | |
| 09:17 | doesn't work . Can we divide by three ? Well | |
| 09:20 | , we can divide this by three . And we | |
| 09:21 | can also divide this by three because we know our | |
| 09:23 | multiplication tables and we know that 12 divided by three | |
| 09:26 | is four because four times three is 12 , 21 | |
| 09:30 | divided by three is seven because seven times three is | |
| 09:33 | 21 . And then we say , is this simplest | |
| 09:35 | form , can I divide top and bottom by some | |
| 09:37 | number . Can divide by two . Can divide by | |
| 09:39 | three . Can divide by four . I mean it | |
| 09:41 | works here , but it doesn't work here . Can | |
| 09:43 | divide by five or any any other number I can | |
| 09:45 | think of . So that's simplest form four sevens . | |
| 09:50 | And what we're basically saying for all of these problems | |
| 09:52 | is that four out of seven slices of pizza is | |
| 09:55 | exactly the same as taking 12 out of 21 slices | |
| 09:59 | . Five out of eight slices of pizza is exactly | |
| 10:02 | the same as taking 10 out of 16 slices . | |
| 10:05 | So that is what the process really means here . | |
| 10:08 | Now let's take a look at the next one carefully | |
| 10:10 | because we have a couple of choices . Let's take | |
| 10:12 | a look at 28 And the Fractions 28 , 30 | |
| 10:16 | seconds . So we have 32 slices of a pizza | |
| 10:19 | , but we only take 28 of them . How | |
| 10:21 | can we simplify this ? 28 , 32 . All | |
| 10:25 | right , there's a bunch of different choices . The | |
| 10:26 | first thing I noticed right away is that I can | |
| 10:30 | uh go through my multiplication tables and I say , | |
| 10:32 | Okay , well , I can divide this by four | |
| 10:35 | because seven times four is 28 , and I can | |
| 10:37 | divide this by what can I divide also by four | |
| 10:41 | ? Because eight times four is 32 . So , | |
| 10:43 | I know that I can divide both by four . | |
| 10:46 | So , if I go through and I say , | |
| 10:48 | well , what is 28 divided by four ? I | |
| 10:49 | know the answer seven because seven times four is 28 | |
| 10:53 | And I know this is 32 , divided by four | |
| 10:55 | , 32 , divided by four is eight because eight | |
| 10:58 | times four is 32 . And I know this is | |
| 11:00 | simplest form because I cannot divide the top and the | |
| 11:03 | bottom by anything else . To make it simpler . | |
| 11:06 | Now that's if you happen to remember that I can | |
| 11:08 | divide by four . But let me solve the problem | |
| 11:10 | again . Let's start over again . 28 , 32 | |
| 11:14 | . Let's say that you didn't realize you could divide | |
| 11:16 | by four , you just didn't think of it . | |
| 11:18 | I know that this is an even number and this | |
| 11:20 | is also an even number . So I know that | |
| 11:22 | I can divide this by two and I can also | |
| 11:24 | divide that by two . Now what is 28 divided | |
| 11:28 | by two ? You might not know that off the | |
| 11:30 | top of your head because it's a big number . | |
| 11:32 | But 28 divided by two actually turns out to be | |
| 11:36 | 14 , right And 32 divided by two actually turns | |
| 11:41 | out to be 16 . How do you know I | |
| 11:44 | mean ? Really ? I know because I know my | |
| 11:46 | multiplication tables , but if you don't remember 14 times | |
| 11:48 | two should be 28 . 14 times two . So | |
| 11:52 | four times two is 82 times one is two . | |
| 11:55 | So 14 times two is 28 . And then to | |
| 11:58 | go down here , you can say 16 times two | |
| 12:01 | , six times two is 12 , carry the one | |
| 12:04 | . Uh And then you have two times one is | |
| 12:06 | two , and then plus one is three , So | |
| 12:08 | 16 times two is 32 . So when I divide | |
| 12:11 | through , I know that these are the right numbers | |
| 12:13 | . But then I ask myself can I take this | |
| 12:15 | fraction and make it any simpler ? And I can | |
| 12:17 | because I see that these are also even numbers . | |
| 12:20 | So 14 , 16 , what can I divide top | |
| 12:23 | and bottom by ? Well , I can divide it | |
| 12:25 | again by two and again by two . And I | |
| 12:27 | know that 14 divided by two is seven And I | |
| 12:30 | know that 16 divided by two is eight because seven | |
| 12:33 | times two is 14 and eight times two is 16 | |
| 12:36 | . So the answer I get is again 78 exactly | |
| 12:39 | the same thing as I got here . The reason | |
| 12:41 | I'm showing you two ways here is because when you're | |
| 12:43 | simplifying a fraction , sometimes you don't know what to | |
| 12:46 | divide by . When I'm trying to tell you is | |
| 12:48 | I don't care what you divide by . As long | |
| 12:50 | as it divides an even number of times the shortest | |
| 12:53 | way to solve the problem is just to divide by | |
| 12:55 | four . It only takes one step and you get | |
| 12:57 | to the answer . If you divide by the biggest | |
| 13:00 | thing you can that works for both top and bottom | |
| 13:02 | number then you're going to solve the problem faster . | |
| 13:05 | But if you don't think of that number or if | |
| 13:07 | you can't if you don't remember that , you can | |
| 13:09 | see that these are even just divide by to get | |
| 13:11 | the answer , then you say , well I can | |
| 13:13 | do it again and I can divide by two again | |
| 13:15 | and get the answer . I'm going to get to | |
| 13:16 | the exact same place no matter what I do . | |
| 13:19 | All right , That was problem five . We are | |
| 13:23 | halfway done . Let's take a look at the fraction | |
| 13:27 | 15/18 . So what I'm gonna do is divide top | |
| 13:33 | and the bottom by some number , what am I | |
| 13:36 | going to pick ? Well , I can't divide by | |
| 13:37 | two because this doesn't divide by two . This divides | |
| 13:42 | by two , but this doesn't uh If I divide | |
| 13:44 | by three , does that work ? I say yes | |
| 13:45 | . Actually it can because I know that this is | |
| 13:47 | divisible by three and that's divisible by three . 15 | |
| 13:50 | divided by three is five because five times three is | |
| 13:54 | 15 18 divided by three is six . Why ? | |
| 13:58 | Because six times three is 18 ? And this is | |
| 14:01 | the final answer . Because when I look at 56 | |
| 14:04 | I cannot come up with another number that I can | |
| 14:06 | divide top and bottom by evenly and make it any | |
| 14:09 | simpler . So that is the final answer and it's | |
| 14:11 | only one step . All right , so we only | |
| 14:15 | have a few more and we will be done . | |
| 14:18 | Let's take a look at 12 18th . So 18 | |
| 14:24 | slices of a pizza . I only take 12 of | |
| 14:27 | them . What fraction is equivalent to this ? That's | |
| 14:30 | simpler . Well , I can see that there are | |
| 14:32 | even numbers immediately . So I'm gonna go ahead and | |
| 14:35 | divide by two . I'm gonna divide by two because | |
| 14:38 | I see that I can divide by two and they're | |
| 14:41 | both even . So that makes sense to me . | |
| 14:42 | 12 divided by two is six . six times 2 | |
| 14:46 | is 12 18 , divided by two is nine because | |
| 14:49 | nine times two is 18 . So I'm saying ok | |
| 14:51 | , am I done ? And I said well no | |
| 14:53 | , I actually I'm not done because I can do | |
| 14:54 | the process again , I can divide the top and | |
| 14:56 | the bottom by something to make that fraction simpler . | |
| 15:00 | So let's go over here and say 6/9 . What | |
| 15:03 | can I divide the top and the bottom by Well | |
| 15:06 | I can divide the top , not by two . | |
| 15:08 | That doesn't divide into the bottom , it divides into | |
| 15:10 | the top , but I can divide by three on | |
| 15:12 | both of these . Six , divided by three is | |
| 15:14 | two and nine divided by three is three . Why | |
| 15:18 | ? Because three times three is nine and two times | |
| 15:20 | three is six . And this is the final answer | |
| 15:22 | because this fraction cannot be simplified any further . So | |
| 15:25 | you see how it took two steps . I didn't | |
| 15:27 | have to wrestle or stress out about what to divide | |
| 15:30 | by . I just saw that they were even numbers | |
| 15:32 | . So I divide by two . I get this | |
| 15:34 | and then I say well I can do some , | |
| 15:36 | I can divide again by something else and I'll get | |
| 15:38 | down to the point where eventually I'll do it enough | |
| 15:40 | times , I'll get to the final answer . But | |
| 15:42 | because it actually took two times here , I now | |
| 15:45 | know that I can actually do this in one step | |
| 15:48 | . 12 divided by 18 . Is there another number | |
| 15:51 | ? I could divide the original problem by ? Well | |
| 15:54 | , I picked to initially because I knew that they | |
| 15:58 | were they were even numbers . But I think about | |
| 16:01 | it further and I know that if I divide by | |
| 16:03 | a bigger number , I'll save time so I can | |
| 16:06 | divide by three and by three , Right , 12 | |
| 16:09 | divided by three is 4 , right ? And 18 | |
| 16:13 | divided by three is what , 18 ? Five by | |
| 16:15 | three ? Six ? Because six times three is 18 | |
| 16:17 | and four times three is 12 . Right ? So | |
| 16:20 | actually I got this , but then I'm like I | |
| 16:22 | look at this and I'm like well wait a minute | |
| 16:23 | , I'm not done here , I can actually take | |
| 16:25 | the 4/6 yes , and I can divide what by | |
| 16:29 | two , and I can divide by two to simplify | |
| 16:32 | this further . Two divided by two is two because | |
| 16:35 | two times two is 4 and six divided by two | |
| 16:38 | is three . And so I get a final answer | |
| 16:40 | of two thirds which matches exactly before here . So | |
| 16:43 | if I divide by two , I get this and | |
| 16:45 | then I divide that answer by something else , that | |
| 16:47 | I get this and I divide this by three and | |
| 16:50 | get this and then take the answer divided by two | |
| 16:51 | . I get to the same place and I'll do | |
| 16:53 | it one last time Just to drive the point home | |
| 16:56 | . Let's start over with the original problem again . | |
| 16:58 | 12/18 . So here I divided by two . Here | |
| 17:01 | I divided by three . What else can I divide | |
| 17:04 | by ? What is the biggest number I can divide | |
| 17:06 | by ? The biggest number I can think of is | |
| 17:08 | six . Mhm Right , 12 divided by six is | |
| 17:12 | two because two times uh six is 12 and 18 | |
| 17:15 | divided by six is three because three times six is | |
| 17:17 | 18 , this again is the same answer . So | |
| 17:20 | I'm trying to show you several different examples where if | |
| 17:23 | you think of the biggest number two divide by , | |
| 17:26 | you only have one step , but if you can't | |
| 17:28 | think of that , just pick something else and keep | |
| 17:30 | doing the process and you'll always get to the same | |
| 17:33 | correct answer . Alright , for our next problem , | |
| 17:37 | let's take a look at 27 30th . Want to | |
| 17:41 | put that into simplest form . So let's think about | |
| 17:43 | what can we divide by on the top and the | |
| 17:45 | bottom . I cannot divide by two on the top | |
| 17:49 | of the bottom because this is not an even number | |
| 17:50 | , it won't divide . But I can divide the | |
| 17:52 | top and bottom by three . On the top 27 | |
| 17:56 | divided by three is nine . And on the bottom | |
| 17:58 | 30 divided by three is 10 because 10 times three | |
| 18:01 | is 30 and nine times three is 27 . So | |
| 18:05 | , the answer you get here is 9/10 and I | |
| 18:07 | can't simplify that further . So , that actually is | |
| 18:09 | the final answer . All right . When we have | |
| 18:13 | two more problems . Uh huh . Let's take a | |
| 18:17 | look at 14 20th . What can we divide top | |
| 18:22 | and bottom by uh to make our lives to make | |
| 18:26 | this simpler ? Well , I see that they're both | |
| 18:27 | even numbers . So I'm going to divide the top | |
| 18:29 | and bottom by two right away . 14 divided by | |
| 18:32 | two is seven and 20 divided by two is 10 | |
| 18:36 | because 10 times two is 20 and seven times two | |
| 18:38 | is 14 and the answer is 7/10 because uh and | |
| 18:42 | this is the simplest form because I cannot divide top | |
| 18:44 | and bottom again by anything else to make it simpler | |
| 18:47 | . All right . Here is our last problem . | |
| 18:51 | Let's take a look at 6/30 . Mhm Right . | |
| 18:56 | 6/30 . So let's think about what can we divide | |
| 18:59 | six by and 35 ? Well , we know that | |
| 19:03 | these are both even numbers . So if we divide | |
| 19:06 | by two , we know that we're going to be | |
| 19:08 | able to get down to the answer , but we're | |
| 19:10 | going to save time . If we can think of | |
| 19:11 | the largest number , we can divide by right ? | |
| 19:14 | So we know that actually we can divide the top | |
| 19:17 | by six and also the bottom by six . That's | |
| 19:19 | the biggest number we can think of because six divided | |
| 19:21 | by six is one and 30 divided by six is | |
| 19:24 | five . So the answer is 1 51 times 6265 | |
| 19:28 | times six is 30 . So the answer is 1/5 | |
| 19:30 | . I cannot simplify that anymore . Now just for | |
| 19:33 | giggles , let's go down here and simplify a different | |
| 19:36 | way . 36 30 is let's say we didn't think | |
| 19:39 | of this and we just divided by two . What | |
| 19:42 | do we get here ? Six divided by two is | |
| 19:44 | three and 30 divided by two . If you actually | |
| 19:47 | think about it and do some multiplication off to the | |
| 19:49 | side 30 divided by two is actually 15 . Right | |
| 19:53 | ? But I can simplify this further because if I | |
| 19:56 | take the three and I divide by three and the | |
| 19:59 | 15 and divide by three though I top and bottom | |
| 20:01 | by three what I will get is three divided by | |
| 20:03 | three is one and 15 divided by three is five | |
| 20:06 | because five times three is 15 and one times three | |
| 20:09 | is three and I get exactly the same thing 1/5 | |
| 20:11 | . So the bottom line of this lesson is when | |
| 20:13 | you're simplifying fractions you will save time if you can | |
| 20:16 | think of the biggest number that you can divide the | |
| 20:18 | top and the bottom by to simplify it . But | |
| 20:21 | if you can't think of the biggest number it's okay | |
| 20:23 | just if it's even divide by two , if you | |
| 20:26 | know you can divide both by three , divide by | |
| 20:27 | three and you may have to do the process two | |
| 20:30 | or three times , but eventually you will get down | |
| 20:32 | to exactly the same place . I've shown you several | |
| 20:35 | times that you'll always get to the same place , | |
| 20:37 | so don't stress out about what to divide by . | |
| 20:39 | Just pick something that works and keep on working from | |
| 20:41 | there . So that was the topic of simplifying fractions | |
| 20:44 | . It's crucially important . I want you to practice | |
| 20:46 | all of these lessons are all these problems and then | |
| 20:49 | follow me on to the next lesson will continue building | |
| 20:51 | your skills step by step . |
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