Simplifying ratios involving fractions - By tecmath
Transcript
| 00:0-1 | today in this video , we're going to be simplifying | |
| 00:01 | ratios that involve fractions and it's a pretty simple thing | |
| 00:04 | to do . You , pardon the pun ? But | |
| 00:07 | all things just has a couple little tricks . So | |
| 00:09 | this is the type of question you get asked with | |
| 00:11 | these . Uh so say for instance , you were | |
| 00:13 | asked to simplify the following ratio . Uh 2/5 is | |
| 00:19 | to seven tits . Okay , so how would you | |
| 00:23 | go about doing this ? It's pretty easy . What | |
| 00:26 | we're going to be doing is we're going to look | |
| 00:27 | at the denominators and we're going to find the lowest | |
| 00:30 | common denominator that these guys have . So if you | |
| 00:33 | look the lowest common number that both of these guys | |
| 00:35 | go into is 10 . Okay , so how do | |
| 00:38 | we go about forming equivalent fractions ? So both of | |
| 00:41 | these fractions were over 10 ? Well , this one's | |
| 00:43 | already done . So it's only two fits that . | |
| 00:45 | We need to change To change to fits into a | |
| 00:48 | number over 10 . We need to get this five | |
| 00:50 | and multiply too . And what we do to the | |
| 00:53 | bottom we do to the top . Okay , so | |
| 00:56 | let's do that . All right , two times 2 | |
| 00:59 | is equal to four . Five times two is equal | |
| 01:03 | to 10 . So the equivalent fraction of 2/5 Is | |
| 01:07 | 4/10 . This is compared to 7/10 with stays exactly | |
| 01:11 | the same . Now , what we can do is | |
| 01:14 | we can multiply both these fractions by 10 , literally | |
| 01:17 | just getting rid of the under 10 , but here | |
| 01:19 | are ratio becomes four is 27 and you can't do | |
| 01:24 | much more with that . So that's as simple as | |
| 01:26 | you'll get . Okay ? So what about we give | |
| 01:28 | another one of these ago ? Say for instance , | |
| 01:30 | you were asked to simplify 56 is 2 , 5/8 | |
| 01:37 | . Okay . First off , what we're going to | |
| 01:38 | do is we're going to find a common number that | |
| 01:41 | both six and eight going to and that number is | |
| 01:45 | 24 . All right , so both of these are | |
| 01:47 | going to need playing around with to turn them into | |
| 01:50 | equivalent fractions out of 24 . What would you multiply | |
| 01:53 | by six to get 24 and that is four . | |
| 01:56 | So we're going to multiply the bottom by four and | |
| 01:58 | to keep it equivalent , we're going to multiply the | |
| 02:01 | top by four For this fraction here , what would | |
| 02:03 | you multiply by 8-24 ? It multiplied by three . | |
| 02:07 | If you multiply the bottom by three , you're gonna | |
| 02:09 | have to multiply the top by three to keep it | |
| 02:12 | equivalent . So , let's see what our answer is | |
| 02:14 | here . Five times four is equal to 20 six | |
| 02:19 | . Times 4 is equal to 24 with the little | |
| 02:23 | r is to sign there five times three Is 15 | |
| 02:28 | and eight times three is 24 . Now the denominators | |
| 02:31 | as you can see the same . So literally what | |
| 02:34 | we're doing is we're now comparing 20 2 , 15 | |
| 02:38 | . We can counsel those denominators out Now this can | |
| 02:41 | be simplified a little bit further because there's a number | |
| 02:44 | that goes into both of these . What number goes | |
| 02:46 | into both of these ? And you can see that | |
| 02:48 | five does 20 , divided by five is equal to | |
| 02:51 | four . 15 , divided by five is equal to | |
| 02:56 | three . And that is the ratio we have . | |
| 02:58 | What about we do one more of these . In | |
| 03:01 | fact , let's make this one a little bit trickier | |
| 03:03 | . This is going to be one is to one | |
| 03:06 | and 3/5 . Okay , So I want to simplify | |
| 03:09 | this here . How do we go about doing this | |
| 03:11 | ? The first thing I do is I'm going to | |
| 03:13 | get this fraction here and I'm going to turn it | |
| 03:15 | into an improper fraction . Okay , So if you're | |
| 03:18 | not certain how to do this in the video description | |
| 03:21 | down below , uh there is a link to a | |
| 03:23 | playlist which talks about how to do all these sorts | |
| 03:25 | of things with fractions . But what we're going to | |
| 03:27 | do is one times five is five Plus three is | |
| 03:31 | equal to eight , and the denominator stays the same | |
| 03:36 | . Okay , this is compared to one now , | |
| 03:39 | Which one is a fraction over five ? And you | |
| 03:41 | can say , okay , one is equal to five | |
| 03:44 | , divided by five . So what we have now | |
| 03:48 | is we have 5/5 is 2805 All right , So | |
| 03:52 | let's simplify this . Now we can get rid of | |
| 03:55 | these Denominators and we are left with five is 28 | |
| 04:00 | . It's pretty cool . Right . All right . | |
| 04:02 | What about one more of these nasty ones ? Okay | |
| 04:05 | , for our last example , let's go to the | |
| 04:07 | quarter compared to one and one half . Okay let's | |
| 04:13 | see what we get when we do this . Okay | |
| 04:15 | so first off we're going to change these into improper | |
| 04:17 | fractions two times four is eight plus one is equal | |
| 04:21 | to nine . And that goes over four . One | |
| 04:25 | times two is equal to two plus one is three | |
| 04:28 | . And that goes over to . Now we're going | |
| 04:31 | to look for a common factor that both for and | |
| 04:34 | to go into which is for . We're not gonna | |
| 04:37 | have to change this one at all but we're going | |
| 04:39 | to have to change this . How would you go | |
| 04:41 | from 2 to 4 ? What would you multiply by | |
| 04:44 | ? It would be to two times two is four | |
| 04:46 | . What we do to the bottom ? We're gonna | |
| 04:47 | do the top so that one would have to change | |
| 04:50 | . So the nominee before is going to stay the | |
| 04:52 | same . The 9/4 stays the same three times two | |
| 04:56 | is equal to 62 times two is equal to four | |
| 05:01 | . We can now cancel these guys out And we're | |
| 05:04 | left with nine is the six and we can simplify | |
| 05:08 | that further . Now Three goes into both of these | |
| 05:11 | . nine divided by three is 3 . six divided | |
| 05:15 | by three is equal to two . So how did | |
| 05:18 | you go with that ? If you like the video | |
| 05:19 | please review , hit the like button and if you're | |
| 05:21 | getting stuck with fractions at all , if you've got | |
| 05:23 | a lot of work to do with fractions in the | |
| 05:25 | description below there is a link to a playlist which | |
| 05:28 | I've made up which looks at all the different things | |
| 05:30 | to do with fractions . Even some little are cheats | |
| 05:33 | on how you can do them a fair bit faster | |
| 05:35 | anyway . Hopefully you have a look at that one | |
| 05:37 | . Thank you for watching . We'll see you next | |
| 05:39 | time . Bye . |
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Simplifying ratios involving fractions is a free educational video by tecmath.
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