Converting Percentages Fractions Decimals - By tecmath
Transcript
| 00:00 | this video is about percentages . Okay . Well what | |
| 00:04 | is the percentage Percentage is a way of writing a | |
| 00:07 | number as a fraction of 100 . Okay . And | |
| 00:10 | we'll see that little bit in the word percentage sent | |
| 00:13 | . I mean this thing always means 100 . Such | |
| 00:15 | as in a century or sense , within a dollar | |
| 00:18 | . Okay . An example of this say is 50% | |
| 00:22 | . So what does 50% actually mean more ? 50 | |
| 00:25 | Doans quite literally 50 out of 100 . So you | |
| 00:29 | can write this as 50 over 100 50 over 100 | |
| 00:33 | . Can then be further simplified to be one half | |
| 00:37 | . Okay . You probably knew that already . So | |
| 00:39 | you might work out very quickly that percentages and fractions | |
| 00:42 | have a very intimate relationship with one another . Anyway | |
| 00:46 | , let's have a look at an example of this | |
| 00:48 | . first off . The first example we look at | |
| 00:50 | is 75%, , 75% . Has a fraction Equals 75/100 | |
| 00:57 | . This can be further simplified as you're probably aware | |
| 01:00 | , By dividing both the top and the bottom number | |
| 01:02 | of that fraction of 75 over 125 , 75 divided | |
| 01:06 | by 25 is three . 100 divided by 25 is | |
| 01:09 | four , so 75% is the same as three quarters | |
| 01:14 | . Another example , let's say 60%, , 60% . | |
| 01:18 | Therefore as a fraction is 60 over 100 . This | |
| 01:22 | can be simplified a little bit further by dividing by | |
| 01:25 | 10 60 , divided by 10 and 600 divided by | |
| 01:29 | 10 is 10 . So this gives you 6/10 . | |
| 01:32 | This can actually then be further simplified by dividing by | |
| 01:35 | two , Six divided by two or 3 . 10 | |
| 01:38 | divided by two is 5 . So 60% is the | |
| 01:41 | same as writing 6/10 . 3/5 6 over 100 . | |
| 01:45 | Okay , these are all exactly the same amount . | |
| 01:49 | So we're going to explore this relationship between fractions percentages | |
| 01:51 | and decimals . We'll start out by looking at a | |
| 01:54 | quarter . One quarter quite literally means one divided by | |
| 01:58 | four and one divided by four of your work it | |
| 02:00 | out is 40.25 So what you probably realize here is | |
| 02:04 | the fraction of quarter Equals the same as the decimal | |
| 02:07 | which is .25 . To change this decimal into a | |
| 02:11 | percentage just times by a 100 8.25 times 100 We'll | |
| 02:16 | give you 25% . Okay , so this is a | |
| 02:19 | relationship between fractions a quarter decimals 0.25 and percentages 25% | |
| 02:25 | . They all mean exactly the same thing . They're | |
| 02:27 | all exactly the same amount . It's a slightly different | |
| 02:30 | way of writing it . So in order to change | |
| 02:33 | between these guys would just run through this a few | |
| 02:35 | more times . So we got that fraction a quarter | |
| 02:38 | which we have before we went one divided by four | |
| 02:40 | which gave us a decimal 5.25.25 times by 100 which | |
| 02:44 | gave us the percent of 25% . And then what | |
| 02:48 | we did is change this percentage into a fraction . | |
| 02:51 | We can put this 25 over 100 . This can | |
| 02:53 | be simplified 25 divided by 25 gives you 100 divided | |
| 02:58 | by 25 ft before . So 25% fraction is one | |
| 03:02 | quarter . Okay , just run through this one more | |
| 03:06 | time . So let's have a look quickly at four | |
| 03:10 | fits 4 fits quite literally means four divided by five | |
| 03:15 | . So four divided by five is this 50.8 . | |
| 03:17 | So 0.8 as a decimal , You want to change | |
| 03:20 | this decimal 2% . Your times by 100.8 times . | |
| 03:23 | 100 Gives you 80 80% . Finally to work out | |
| 03:27 | at the Centers a fraction you just put the over | |
| 03:29 | 100 over 100 Can be simplified by dividing the top | |
| 03:35 | of the bottom by 20 , divided by 20 is | |
| 03:37 | 400 , divided by 25 . So this quite literally | |
| 03:41 | becomes four fits anyway . Good luck with all that | |
| 03:44 | . But . |
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