Fractions on a Number Line - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to the Tech mouth channel . | |
| 00:01 | What we're going to be looking at in this video | |
| 00:03 | is how to place fractions on a number line . | |
| 00:05 | Not a very difficult thing to do if you get | |
| 00:08 | a few of the key ideas What you should be | |
| 00:10 | looking for . So let's just start off with an | |
| 00:12 | example . Let's start off with an easy fraction . | |
| 00:15 | We're going to place 4/5 on our number line . | |
| 00:19 | So how would we go about doing this ? We're | |
| 00:21 | going to see with our fraction . We have two | |
| 00:23 | parts , we have the top number , which is | |
| 00:25 | called the numerator and the bottom number here , which | |
| 00:27 | is called the denominator . When we're placing this fraction | |
| 00:32 | on a number line , the very first thing we're | |
| 00:33 | going to do Is we're going to break between 01 | |
| 00:36 | up into this many parts that denominator number here . | |
| 00:40 | So we're going to break it up into five equal | |
| 00:42 | parts . How big is each part going to be | |
| 00:45 | ? Well , I've measured this across here . You | |
| 00:47 | can see here that I've got the grid lines here | |
| 00:49 | and I've made it 10 grid lines . So 10 | |
| 00:52 | divided by five Is equal to two . So each | |
| 00:56 | one of these two parts is going to be how | |
| 00:59 | big each bit will be . So this is one | |
| 01:01 | , 23 four . Okay , so we've broken up | |
| 01:06 | into 12345 equal parts 4/5 is going to be the | |
| 01:12 | fourth one along , so this is going to be | |
| 01:15 | 1/5 . This party would be 2/5 , This party | |
| 01:19 | would be 3/5 But here would be where we'd be | |
| 01:23 | looking at 4/5 . Okay , pretty easy . Right | |
| 01:27 | , and this one , by the way , is | |
| 01:29 | it 5/5 ? It is five divided by five is | |
| 01:32 | equal to one . So that's how you go through | |
| 01:34 | and place the fractions on a number line . What | |
| 01:37 | about one more example ? Okay , let's place 3/4 | |
| 01:41 | on our number line . First off , look at | |
| 01:43 | the denominator here we're going to break between zero and | |
| 01:46 | one up into four equal parts . So 10 divided | |
| 01:50 | by four is equal to 2.5 . So every 2.5 | |
| 01:55 | breed lines , let's place a Mark 12 and a | |
| 01:58 | half . 1 , 2.5 . 1 , 2.5 . | |
| 02:02 | 1 , 2.5 is going to be at one there | |
| 02:06 | . Okay , so where all 3/4 well let's start | |
| 02:09 | counting alone . Just here . We have one quarter | |
| 02:13 | At this part we have 2/4 in this part we | |
| 02:17 | have what we're after which is 3/4 and yes over | |
| 02:22 | here would be four quarters four divided by four is | |
| 02:25 | equal to one . So once again that's how you | |
| 02:27 | place these on . Occasionally the fractions will get a | |
| 02:31 | bit harder and I'll give you an example of this | |
| 02:33 | . So the next fraction we're going to put on | |
| 02:34 | is a bit nastier . It's going to be nine | |
| 02:38 | 12th . Okay , How do we go about doing | |
| 02:41 | this ? Do we really want to break this up | |
| 02:42 | into 12 parts here ? Well , no , we | |
| 02:45 | don't really want to do that and I can tell | |
| 02:46 | you straight away we won't have to do that . | |
| 02:48 | And the reason is is because 9/12 has a common | |
| 02:51 | factor that goes into both the top and the bottom | |
| 02:54 | number . It means we can simplify it and then | |
| 02:56 | we can simplify down what we're doing here . Yes | |
| 02:58 | , you can see the number , three goes into | |
| 03:00 | both nine and 12 , 3 goes into 93 times | |
| 03:04 | and three goes into 12 4 times . So this | |
| 03:07 | is nine out of 12 equivalent fraction and three out | |
| 03:10 | of 43 quarters is a whole lot easier to put | |
| 03:13 | on . In fact , that's what we put on | |
| 03:14 | before , so we could go through and do this | |
| 03:17 | . Okay , quarters are going to be just here | |
| 03:22 | , And 3/4 would be here . So 9 12 | |
| 03:26 | isn't that zone there ? Okay , lets go something | |
| 03:29 | which is a little bit different than What about if | |
| 03:31 | I just changes a little bit , so it's not | |
| 03:34 | exactly the same , and instead I change it to | |
| 03:36 | something like 7/12 . How do we go about doing | |
| 03:41 | that now ? Well , We're going to use this | |
| 03:44 | same idea of equivalent fractions . This can't be simplified | |
| 03:48 | any further and it would still be pretty horrible to | |
| 03:50 | break this up into 12 parts here . So the | |
| 03:52 | way I do this is as follows , I'm going | |
| 03:54 | to look at fractions on either side here , a | |
| 03:57 | fraction , that's a step up from this , one | |
| 03:59 | is 8/12 . A step down from this is going | |
| 04:03 | to be 6/12 . And now let's work out the | |
| 04:06 | equivalent fractions of these two . So the number six | |
| 04:10 | goes into both six and 12 , 6 divided by | |
| 04:13 | six is one , 12 divided by six is half | |
| 04:16 | . So we could place that on fairly simply . | |
| 04:19 | Uh this one here , the number four goes into | |
| 04:22 | both the top and the bottom eight divided by four | |
| 04:24 | is equal to two , and 12 , divided by | |
| 04:27 | four is equal to three , that's another one . | |
| 04:29 | That's not too bad to put on . So let's | |
| 04:31 | place them on behalf is just breaking up this line | |
| 04:35 | into half . Okay , 10 divided by two . | |
| 04:38 | We're going to come 1234 five been . That's where | |
| 04:42 | half occurs . This one here , thirds . Well | |
| 04:46 | , 10 divided by three is like three and a | |
| 04:49 | third , so we're gonna go 12 I'll put this | |
| 04:52 | in a different color 123 and a third , one | |
| 04:55 | too . three And a third were broken up into | |
| 04:59 | three , so two thirds is going to be here | |
| 05:02 | , so we're able 7 12 speed or 7/12 is | |
| 05:05 | going to be In that point , directly between these | |
| 05:08 | 7/12 is right here . So that's another way you | |
| 05:12 | can place these guys in by placing them relative to | |
| 05:15 | other fractions . So hopefully that video was just some | |
| 05:18 | help for you . If you like the video , | |
| 05:19 | please remember , hit the like button and if you | |
| 05:22 | want more help on fractions in the description below , | |
| 05:26 | there is a link to an entire playlist , looking | |
| 05:28 | at fractions that I've put together . Okay , so | |
| 05:31 | , uh if you need a hand with that , | |
| 05:33 | that's a good place to start anyway . Thank you | |
| 05:35 | for watching . And we'll see you next time . |
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Fractions on a Number Line is a free educational video by tecmath.
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