Simplifying Fraction - By tecmath
Transcript
00:0-1 | Good day . Welcome to the Tech Math channel . | |
00:01 | What we're going to be having a look at in | |
00:02 | this video is simplifying fractions and it's a pretty easy | |
00:05 | thing to do . Uh , I'll just launch straight | |
00:07 | into it . So say for example , we had | |
00:10 | the following fraction for out of 8 4/8 and I'll | |
00:14 | even draw it up right now . So what we | |
00:15 | mean when we say we're going to simplify this fraction | |
00:18 | here is we're looking for a common factor that goes | |
00:19 | into both the top number and the bottom number here | |
00:22 | into the numerator and the denominator . So we can | |
00:25 | find a common number goes into both of it . | |
00:27 | Then what we can do is we can divide that | |
00:30 | factor into these numbers and reduce the top and the | |
00:33 | bottom number here . So they're in more simple terms | |
00:35 | , I'll show you what I mean by this . | |
00:37 | So what is the common number that goes into both | |
00:40 | four and into eight ? And the highest common factor | |
00:43 | that I can think of here would be 44 goes | |
00:46 | into four one time And it goes into eight two | |
00:50 | times . So if we go forward divided by four | |
00:53 | , we get one and eight divided by four , | |
00:55 | we get to . So an equivalent fraction to 4/8 | |
00:58 | is one half . Okay . They mean exactly the | |
01:01 | same thing as you can see here . In terms | |
01:03 | of these dots here , half of them are shaded | |
01:04 | in , but we've made the numbers a lot more | |
01:07 | simple and that's all it's meant by simplification . Can | |
01:10 | we take this any further ? Well , because we've | |
01:11 | got a one here , we can see straight away | |
01:14 | that we can't but there is no common factor that | |
01:16 | we can divide into both one and two , that | |
01:18 | we would reduce it any further . So no , | |
01:20 | we can't . So what about another example ? Okay | |
01:23 | , for our next example we're going to have a | |
01:24 | look at another fraction . 16 and 24 . We'll | |
01:28 | get to a hard example after this one . But | |
01:30 | something nice and easy to start off with here . | |
01:32 | So 16 out of 24 . Now , is there | |
01:35 | a common number that goes into both of these ? | |
01:37 | And what is the highest common number that goes into | |
01:39 | both ? Now , what I'm gonna do is I'm | |
01:41 | gonna not choose the highest common one , which is | |
01:43 | eight . I'm gonna choose The one below that , | |
01:46 | which is four . But I'm going to show you | |
01:47 | why uh so say I had chosen for accidentally I | |
01:51 | couldn't see a higher factor and I've chosen for . | |
01:53 | So 16 divided by four is equal to four and | |
01:57 | 24 divided by four is equal to six . Now | |
02:00 | , what you can see here as you can see | |
02:02 | with this particular fraction here , it can be taken | |
02:05 | further . There is a common factor that goes into | |
02:07 | both four and six which is to Okay , so | |
02:11 | devices do this divided by two , divide by two | |
02:16 | . What do we get ? Four divided by two | |
02:18 | is equal to two and six divided by two is | |
02:22 | equal to three because there is no common factor that | |
02:25 | goes into both two and three , that would reduce | |
02:26 | it any further . This is our most simple form | |
02:30 | of 16 and 24 but as I was trying to | |
02:32 | show you with this is you can do this in | |
02:34 | steps if you want to uh If you had a | |
02:37 | divided straight by eight , you're gonna go on 16 | |
02:38 | divided by eight and got to 24 divided by eight | |
02:41 | and got three and you could have saved yourself a | |
02:43 | step But occasionally you will do steps in between and | |
02:46 | that's okay if you do do that . Okay , | |
02:48 | another example . Okay , what about six and 21 | |
02:52 | out of 28 ? So I'm going to put a | |
02:53 | mixed number in here . So what we do when | |
02:56 | we have a mixed number now , this is pretty | |
02:59 | easy . What we do is first off , this | |
03:01 | number is going to stay the same , the actual | |
03:03 | whole number here . The six is going to stay | |
03:05 | the same . We're not going to modify that whatsoever | |
03:07 | . We don't need to do anything to simplify this | |
03:09 | at all . So answer is just going to start | |
03:12 | with the six . The only part that we need | |
03:14 | to simplify is this part here . So let's do | |
03:17 | that . What's the common number that goes into both | |
03:19 | 21 28 ? And you can say okay , seven | |
03:22 | does divide by seven divided by seven , So it's | |
03:26 | 21 divided by seven is equal to three , 28 | |
03:31 | , divided by seven is equal to four . And | |
03:33 | there is no common factor that goes into both three | |
03:35 | and four that will reduce it any further . So | |
03:37 | this is as simple as it gets . So now | |
03:39 | all I need to do is just add this whole | |
03:41 | number of components , but this six to it . | |
03:44 | All right . What about a couple of examples for | |
03:45 | you to do ? Okay , simplify the following 22 | |
03:50 | out of 50 . What about we simplify uh 21 | |
03:55 | out of 56 and finally I'll put a mixed number | |
03:59 | in here . What about two and 16 out of | |
04:02 | 64 ? All right , go through and try to | |
04:06 | do these . So first off , look for that | |
04:09 | highest common factor and reduce reduce , reduce . So | |
04:12 | 22 divided by 50 . Now looking at this number | |
04:16 | that goes into both of these . Now look , | |
04:18 | you can look straight away and say okay to goes | |
04:20 | into both of these two is a nice easy one | |
04:22 | . They're both even numbers . So we can say | |
04:24 | that . Okay , let's divide both the top and | |
04:26 | the bottom by two . Okay , 22 divided by | |
04:30 | two is equal to 11 50 , divided by two | |
04:34 | is equal to 25 . Is there a common number | |
04:37 | that goes into both 11 and 25 ? Well , | |
04:40 | nothing I can think of . So this is the | |
04:43 | most simple version of what we have . Okay , | |
04:46 | let's have a look at the next number here . | |
04:48 | 21 56 . What number goes into both of these | |
04:51 | ? Number seven ? Right . Seven goes into 21 | |
04:54 | 3 times and it goes into 56 8 times because | |
04:57 | 7/8 of 56 ? Uh All right . Is there | |
05:00 | a common number that goes into both three and eight | |
05:03 | is not ? So this is the most simple version | |
05:05 | of 21 out of 56 ? Okay , the last | |
05:09 | question you had here , so the two is going | |
05:10 | to stay the same , We're just gonna need to | |
05:13 | simplify the fraction component of it . So what's a | |
05:15 | common number that goes into both 16 and 64 ? | |
05:19 | Now , I'm going to tell you the biggest one | |
05:20 | that I can think of straight away , the number | |
05:22 | that goes into both of these , you can choose | |
05:24 | to and you can choose for and you can choose | |
05:26 | eight , but I'm going to heavy , it is | |
05:28 | , I am going to say the biggest factor that | |
05:30 | goes into both of these is 16 , 16 goes | |
05:33 | into 16 once and it goes into 64 four times | |
05:38 | , uh and that whole number there stays the same | |
05:40 | , so this is equal to two and a quarter | |
05:42 | . You might have had to do that in multiple | |
05:45 | steps , but hopefully you've got that same answer , | |
05:47 | and that's the right answer . So , anyway , | |
05:50 | how did you find that ? It's not too bad | |
05:51 | , right simplification . It's really simple . If you | |
05:55 | pardon the really bad dad joke there , Anyway , | |
05:58 | we'll see you next time . Bye . |
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Simplifying Fraction is a free educational video by tecmath.
This page not only allows students and teachers view Simplifying Fraction videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.