Equivalent fractions - By tecmath
Transcript
| 00:01 | this lesson is part one of fractions and it's bad | |
| 00:04 | . Equivalent fractions equivalent fractions and two fractions that although | |
| 00:08 | they use different numbers actually represent the same thing . | |
| 00:11 | And I'll show you what I mean by this . | |
| 00:14 | Well we're going to look at first the fraction a | |
| 00:16 | half which looks like this , it's like getting a | |
| 00:18 | pine cutting it into two pieces . Well what about | |
| 00:23 | what we do with the pies ? We cut into | |
| 00:24 | four pieces . Has shown just here , how many | |
| 00:27 | pieces do you need to eat ? Half of this | |
| 00:30 | pie ? Probably worked . It adds to it looks | |
| 00:33 | like this And what you'll probably notice is that a | |
| 00:36 | half , 1/2 is exactly the same as saying to | |
| 00:39 | over four . So what you can see is one | |
| 00:42 | half and 2/4 of the same thing , same amount | |
| 00:45 | , different numbers . And what about maybe we cut | |
| 00:47 | this .8 pieces . Okay , how many bits we | |
| 00:51 | need to actually eat to have half ? Uh huh | |
| 00:54 | . Four so one half , 2/4 , 4 rates | |
| 00:59 | , they're all exactly the same things . So you | |
| 01:02 | can see this pattern really well using the pictures which | |
| 01:04 | show that you're dealing with each time exactly the same | |
| 01:07 | amount . It's just different numbers . So how do | |
| 01:10 | you convert between equivalent fractions without going through the ordeal | |
| 01:13 | of drawing them up every time ? Well , so | |
| 01:16 | we're trying to get one half , we're trying to | |
| 01:17 | change it through a number of four . Well we | |
| 01:20 | look at the bottom numbers here . What you'll notice | |
| 01:23 | is to get from 2-4 . What you have to | |
| 01:26 | do is you have to multiply by two so you | |
| 01:28 | do the same to the top No . one times | |
| 01:30 | two is two . So you want to get from | |
| 01:33 | one half to a number over eight without drawing it | |
| 01:36 | . Well you look at a half the bottom number | |
| 01:38 | two to get to the bottom number eight , two | |
| 01:41 | times 4 is eight , so one times 4 is | |
| 01:45 | four . The similar thing happens if you want to | |
| 01:48 | convert , say from 2-4 to a number over to | |
| 01:51 | you . It's called simplifying . Well you can look | |
| 01:53 | at four To get to two . You actually have | |
| 01:57 | to divide by two . So The Top # two | |
| 01:59 | divided by two is 1 . And as you'll see | |
| 02:03 | a similar thing with the four is divided by four | |
| 02:05 | . What you do the top you do at the | |
| 02:07 | bottom . So here's a couple of examples . 1st | |
| 02:10 | 1 , we'll look at 3/5 you want to get | |
| 02:12 | it to become a number 15 . So five to | |
| 02:16 | get to 15 , you have to multiply by three | |
| 02:18 | what you do the type , you do the bottom | |
| 02:20 | . So we also have to multiply the top number | |
| 02:21 | by 33 times three is nine . Pretty easy . | |
| 02:26 | Another example You say something like 4/7 . We wanted | |
| 02:30 | to get to be a number over 35 . So | |
| 02:32 | we look at the bottom numbers to get from 7 | |
| 02:35 | to 35 . We have to multiply by five . | |
| 02:38 | So we also have to multiply by five at the | |
| 02:40 | top where he did the top to the bottom and | |
| 02:42 | four times five is 20 . So 4/7 is the | |
| 02:45 | same as 20/35 . Pretty easy . Once again , | |
| 02:49 | all you're doing is you're dealing with asylum mounts and | |
| 02:52 | different numbers anyway . That's all for now . Bye | |
| 00:0-1 | . |
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Equivalent fractions is a free educational video by tecmath.
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