fractions to percentage calculations - By tecmath
Transcript
| 00:00 | Good day and welcome to the Tech Math channel . | |
| 00:02 | What we're going to be having a look at in | |
| 00:03 | this video is we're just going to look at the | |
| 00:04 | standard way of changing fractions into percentages . This is | |
| 00:09 | a response to a question somebody sent through . So | |
| 00:11 | if you have any questions to do with that sentence | |
| 00:14 | , we're all gonna video out as quick as I | |
| 00:15 | can . So first off , what we're gonna be | |
| 00:18 | looking at is I'll show you all the working out | |
| 00:20 | in the standard way we do these . So say | |
| 00:22 | we had , I'll start off a nice example . | |
| 00:25 | We're gonna turn the following into percentage . We're gonna | |
| 00:28 | turn three quarters into percentage . Then we're going to | |
| 00:31 | go a bit harder . Will turn say 58 sent | |
| 00:34 | to a percentage . Then we'll go , let's change | |
| 00:37 | um , say something like um , 7/18 in 2% | |
| 00:44 | . Okay , so we'll work on these particular examples | |
| 00:46 | . The easiest way of doing this is to turn | |
| 00:49 | these into a number out of 100% with just times | |
| 00:51 | are three quarters here . By 100 . Okay , | |
| 00:55 | by 100 . We place it over one . Okay | |
| 00:59 | , so what we can do now is we can | |
| 01:00 | look for numbers that go into both the top and | |
| 01:03 | the bottom . Okay , We can simplify down these | |
| 01:05 | fractions and you might see okay , there's a number | |
| 01:08 | that goes into both four and 100 here , Which | |
| 01:10 | is four . Okay . Goes into this one once | |
| 01:13 | And it goes into this one 25 times . There's | |
| 01:17 | no number that goes into both 1 , 3 and | |
| 01:21 | 25 here . So what we can do is now | |
| 01:24 | we just multiply these straight across . We have three | |
| 01:27 | times 25 which is 75 And one times 1 , | |
| 01:33 | which is one . Okay . And now we are | |
| 01:36 | left with 75 divided by one , which this is | |
| 01:39 | our answer , which is 75 percent . Okay . | |
| 01:46 | All right . What about this next question ? We | |
| 01:48 | have 5/8 . Okay . So what we do is | |
| 01:50 | we times is by Once again 100 over one . | |
| 01:55 | All right . So the next step we look for | |
| 01:57 | a number that goes into both the top and the | |
| 01:58 | bottom here . Okay , we have fire number four | |
| 02:04 | that goes into both 100 and eight here . Okay | |
| 02:06 | . It goes into eight twice And it goes into | |
| 02:09 | a 125 times became we've simplified that down . There's | |
| 02:13 | no number that goes into two and either any of | |
| 02:15 | these numbers at the top here . So Now we | |
| 02:18 | just multiply across five times 25 is 125 and this | |
| 02:24 | is over two times 1 . Which is to Okay | |
| 02:28 | , so this is 125 divided by two . Okay | |
| 02:33 | , So I'm just gonna do this by going 11 | |
| 02:36 | divided by two . We can't do so we're left | |
| 02:38 | with 12 divided by two . This is six and | |
| 02:41 | five divided by two . There's two and there's one | |
| 02:44 | left over and we put this one over the two | |
| 02:46 | years so we got 62.5 percent . Okay . Nice | |
| 02:51 | and easy . Yeah . All right , let's have | |
| 02:53 | a look at our last example . There's a 7/18 | |
| 02:57 | . We are going to place this over 100 so | |
| 03:02 | we multiply this by 100 over one . Okay , | |
| 03:05 | So what do we do now ? We look for | |
| 03:07 | a number that goes into both the top and the | |
| 03:09 | bottom ? Yeah , we can simplify this any further | |
| 03:12 | . You're going to see that we can to goes | |
| 03:14 | into both Of these . The two goes into this | |
| 03:17 | 1 50 times into 150 times it goes into this | |
| 03:21 | one Doyle times . Okay , uh there's no immediate | |
| 03:26 | apparent number that goes into both of these . There | |
| 03:27 | is no number that goes into the top on the | |
| 03:29 | bottom here . So now we just multiply these across | |
| 03:33 | . All right , seven times 50 is 350 . | |
| 03:39 | And we're gonna place this over nine times one , | |
| 03:43 | which is not okay . So Now we've got 350 | |
| 03:47 | divided by nine , nine into three . We can't | |
| 03:51 | do 19 to 35 . This goes three times and | |
| 03:56 | is I left over And then nine into 80 Goes | |
| 04:04 | 9 8-72 . So this goes right And there's eight | |
| 04:07 | left over . So this is eight overnight and this | |
| 04:13 | is percentage . Okay . Yeah , hopefully that was | |
| 04:17 | some help to you . Uh hopefully that's what you're | |
| 04:20 | after with this particular question . I was trying to | |
| 04:22 | be quite a specific and quite thorough and how I | |
| 04:26 | was doing the explanation here by the way . If | |
| 04:28 | you don't actually , if you're not able to simplify | |
| 04:29 | these are getting a little bit stuck on this particular | |
| 04:31 | step here where you're not able to actually simplify these | |
| 04:34 | as easy . It's It's okay . You can actually | |
| 04:36 | work on that in this step over here . So | |
| 04:38 | you just went five times 100 you'd end up with | |
| 04:39 | 500 over eight times one , which is eight , | |
| 04:43 | ended up with the same answer here . It just | |
| 04:45 | makes this calculation here a bit simpler reviews simplified over | |
| 04:48 | here anyway , I hope that was of some help | |
| 04:51 | . We'll see you next time . Bye . |
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Fractions to percentage calculations is a free educational video by tecmath.
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