Comparing and Ordering Fractions, Decimals, and Percents - By Anywhere Math
Transcript
| 00:0-1 | Welcome to anywhere . Math . I'm Jeff , Jacobson | |
| 00:01 | . And today we're gonna be comparing and ordering fractions | |
| 00:06 | , decimals and percents . That's gonna start it . | |
| 00:27 | Before we get to the first example , there's one | |
| 00:30 | main rule , you need to know when you're comparing | |
| 00:32 | or ordering fractions , decimals and percents . Uh You | |
| 00:36 | may have heard the phrase , it's like comparing apples | |
| 00:39 | and oranges . That's a very common phrase . And | |
| 00:41 | basically what it means is it's hard to compare apples | |
| 00:44 | to oranges . They're different . Right ? Same thing | |
| 00:47 | with fractions , decimals and percents . We can't compare | |
| 00:50 | them when they're all different . So the main rule | |
| 00:54 | with comparing and ordering fractions , decimals and percents is | |
| 00:57 | that you have to make them all . Either fractions | |
| 01:00 | . All decimals or all percent . And then compare | |
| 01:05 | them if they're not all the same , you can't | |
| 01:07 | compare them . Okay , so with that in mind | |
| 01:10 | let's get to our first example example one which is | |
| 01:13 | greater . So we're comparing here we've got 3/20 compared | |
| 01:18 | to 16% . Were comparing a fraction with a percent | |
| 01:21 | . Now again the main rule , you got to | |
| 01:24 | make them in this case both either fractions or both | |
| 01:28 | percent most of the time . Uh Either one will | |
| 01:32 | be okay . There's one main thing that you that | |
| 01:36 | you should keep in mind though , when you're comparing | |
| 01:39 | or ordering and you're having to change things into fractions | |
| 01:41 | , decimals and percents . Uh decimals and percents are | |
| 01:46 | fine , right there no big deal . If you | |
| 01:49 | change everything to fractions , then sometimes you're gonna have | |
| 01:53 | an extra step because in order to compare fractions , | |
| 01:57 | you also need common denominators . So when you do | |
| 02:01 | that , sometimes you're going to have extra work to | |
| 02:04 | be able to do that . So often times making | |
| 02:07 | them all into fractions is usually maybe not the best | |
| 02:11 | choice . So keep that in mind . Uh when | |
| 02:15 | you're doing these problems , um So here we go | |
| 02:18 | , part a 3/20 or 16% . So do we | |
| 02:22 | want to make them both fractions or do you want | |
| 02:24 | to make them both percent ? And if you remember | |
| 02:26 | what I just said in my opinion , I think | |
| 02:29 | it's going to be easier to make them both percent | |
| 02:32 | . Well 3/20 uh Remember per cent means per 100 | |
| 02:38 | . So it be great if this denominator was 100 | |
| 02:41 | . Well that's easy for us to do 3/20 if | |
| 02:45 | I wanted to become over 100 . Well to do | |
| 02:48 | that , all I need to do is multiply the | |
| 02:51 | denominator by five and if I do that to the | |
| 02:54 | denominator to make an equivalent fraction , I need to | |
| 02:57 | do that to the to the numerator . So times | |
| 03:00 | five and I get 15 over 100 Which is the | |
| 03:05 | same as 15% . So Which is greater 3 20th | |
| 03:12 | which is the same as 15% or 16% . Well | |
| 03:16 | , that's easy . 16% is greater than 50% . | |
| 03:21 | So it's greater than three twenties . So see how | |
| 03:24 | easy it becomes . Once when they're both the same | |
| 03:27 | both percent . Then it's really easy to compare . | |
| 03:30 | Let's try B 79% or 0.8 So in this case | |
| 03:36 | we've got two options either would be fine . I | |
| 03:39 | can make both of these percents fairly easy easily and | |
| 03:43 | I could also make them both . Uh decimals quite | |
| 03:46 | easily . So either one works . Uh You don't | |
| 03:49 | have to worry about fractions so let's see how about | |
| 03:53 | we do both . If I'm going to compare them | |
| 03:56 | both as decimals . Well then I would need to | |
| 03:59 | make this as a decimal and percent . Two decimals | |
| 04:03 | is easy . I just move the decimal place twice | |
| 04:05 | to the left . 12 , which would mean 0.79 | |
| 04:11 | . Okay , well 0.79 is greater than 0.08 , | |
| 04:15 | which means 79% is greater . Let's try the other | |
| 04:18 | way . Let's make this 1% . So again I'll | |
| 04:21 | have 79% and I'm changing 0.82% Decimals 2% . You | |
| 04:29 | just go the other way . I move the decimal | |
| 04:31 | point twice to the right , So 12 and it | |
| 04:36 | becomes 8% . So same thing . Either way I | |
| 04:40 | do it 79% is going to be greater than 0.08 | |
| 04:46 | , so that is greater . Okay , here's something | |
| 04:49 | to try on your own . Example , two Ronaldo | |
| 05:00 | messi and myself are practicing penalty kicks on the soccer | |
| 05:03 | field . I make 72% of my shots . Ronaldo | |
| 05:07 | makes 19 out of 25 of his and messy . | |
| 05:10 | 0.67 of his shots . Who made the fewest ? | |
| 05:15 | Well , first let's underline are important information . So | |
| 05:18 | I make uh 72% . Ronaldo 1925 . Messy . | |
| 05:26 | So notice we've got a percent a fraction . And | |
| 05:30 | the decimal ok , we're gonna have to compare all | |
| 05:33 | all three of those to find out who made the | |
| 05:35 | fewest . Um now to kind of be a little | |
| 05:39 | be someone organized , I'm just gonna make a little | |
| 05:42 | bit of a table . So here's me with 72% | |
| 05:48 | . Then we've got Ronaldo whoops and we've got Ronaldo | |
| 05:56 | At what was he 19 out of 25 . And | |
| 06:00 | then we've got messy with zero point 67 Okay , | |
| 06:09 | now if you were going to use logic you would | |
| 06:11 | probably say oh well it was probably Ronaldo who made | |
| 06:15 | the fewest . Right ? Obviously it's not gonna be | |
| 06:16 | me because I make all my penalty kicks . But | |
| 06:19 | anyways so here we go , percent fraction decimal . | |
| 06:24 | Again the rule , we got to make them all | |
| 06:26 | the same , we can make them all percent , | |
| 06:28 | we can make them all fractions or we can make | |
| 06:30 | them all decimals . Remember fractions are gonna be usually | |
| 06:34 | the toughest . So let's skip that and let's think | |
| 06:37 | , do we want to make them all percent or | |
| 06:39 | all decimals ? And really it doesn't matter . Uh | |
| 06:42 | for me , I'm going to say let's go with | |
| 06:44 | percent . So that means this is good , 72% | |
| 06:50 | is already percent . So great , 19/25 . Well | |
| 06:55 | that's easy to make a percent because I can just | |
| 06:57 | make that 25 into 100 for my denominator by multiplying | |
| 07:01 | by four And do the same up here . And | |
| 07:06 | let's see , 19 times four , That's 36 . | |
| 07:11 | So 76 out of 100 , which means 76 out | |
| 07:15 | of 176 per 100 , which means 76% . So | |
| 07:21 | actually Ronaldo beat me in this situation uh and then | |
| 07:24 | messy to change a decimal to a percent . It's | |
| 07:28 | easy just move the decimal point twice to the right | |
| 07:32 | to 12 and that becomes 67% . So the question | |
| 07:38 | who made the fewest penalty kicks ? Well that was | |
| 07:43 | okay Messi with 67% . Here's one more to try | |
| 07:48 | on your own . Thank you so much for watching | |
| 07:57 | , and if you like this video please subscribe . | |
| 08:05 | Yeah . |
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