Adding Fractions Challenge - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to Tech Math channel . Just | |
| 00:02 | a quick little challenge . Getting you to play around | |
| 00:04 | with addition of fractions . So this is the challenge | |
| 00:07 | . I'm going to give you seven fractions right now | |
| 00:09 | . They are as follows , we're going to use | |
| 00:11 | 1/12 we're going to use 1/6 . We're going to | |
| 00:15 | use one quarter . One third , one half , | |
| 00:19 | as well as two thirds and three quarters . Okay | |
| 00:23 | , so we have seven fractions there . Now , | |
| 00:26 | this is your challenge here , is you have to | |
| 00:28 | arrange these fractions in these circles here , we have | |
| 00:31 | seven circles . Seven fractions . You have to arrange | |
| 00:33 | the fractions in the circles here , so that the | |
| 00:36 | sum of each row is the same . So this | |
| 00:38 | row adds up to the same as this road adds | |
| 00:41 | up to the same as this . Right ? Okay | |
| 00:43 | , So what I'm gonna do here is I pause | |
| 00:45 | it up . If I was you guys . I'll | |
| 00:47 | give you a bit of a hint for a second | |
| 00:48 | about how you might do this if you're getting stuck | |
| 00:50 | and then I'll show you the answer . Okay , | |
| 00:54 | this is my hint here . What I'd recommend is | |
| 00:56 | with this . I would go through and I would | |
| 00:59 | change these fractions . They all had the same denominator | |
| 01:02 | . Now , the common denominator that you can see | |
| 01:04 | that these numbers will all easily go into is 12 | |
| 01:07 | . So if we could changes into equivalent fractions , | |
| 01:10 | this would become 1 12 , This would become to | |
| 01:14 | over 12 , this would become 3/12 . This would | |
| 01:18 | become 4/12 . This would become 6/12 . This would | |
| 01:23 | become 8/12 And this would become 9/12 . Okay , | |
| 01:28 | so now we're looking to be able to add these | |
| 01:30 | guys , so the rows add up to the same | |
| 01:33 | . Good luck on that . Now , hopefully you | |
| 01:36 | got the right answer . Now , I'm going to | |
| 01:37 | go through and work out the answer now . So | |
| 01:39 | what we have here is pretty typically when you have | |
| 01:42 | a question like this , it's very , very typical | |
| 01:45 | that you will be using the biggest and the smallest | |
| 01:48 | number in the one row and that kind of makes | |
| 01:50 | sense . So let's go first off and do that | |
| 01:53 | . So we're going to be having 9/12 And 1/12 | |
| 01:59 | and you can see that if you add these together | |
| 02:01 | , you will get the answer of 10/12 For another | |
| 02:04 | row . What we're going to be using is we're | |
| 02:06 | going to be using the second biggest and second smallest | |
| 02:09 | . Okay , so 8/12 and to over 12 8/12 | |
| 02:13 | Plus 2/12 also add up to 10/12 . So it's | |
| 02:18 | pretty good so far . Right , what about the | |
| 02:20 | next one along now , you're gonna see that if | |
| 02:22 | we just take the third biggest and the third smallest | |
| 02:25 | , these guys are going to add up to nine | |
| 02:27 | out of 12 . So we're going to adjust our | |
| 02:30 | method here and we're going to add up the ones | |
| 02:32 | that are going up to 10/12 . Which is these | |
| 02:34 | two here ? This one and this one add up | |
| 02:37 | to 10/12 . So we're going to be using 6/12 | |
| 02:41 | and 4/12 . Okay . And these both also add | |
| 02:46 | up to 10/12 . So this first off tells us | |
| 02:50 | what the middle one is going to be , the | |
| 02:51 | one left over . So the common one is going | |
| 02:53 | to be 3/12 . That's going to go in the | |
| 02:56 | middle . That is one quarter . All right , | |
| 03:00 | so on either end , what do we have ? | |
| 03:02 | We have 9/12 and 1/12 . You can see here | |
| 03:06 | that 1/12 is the 1/12 and the one that is | |
| 03:11 | equivalent to 9/12 is three quarters for another road . | |
| 03:15 | What we have is the one which is equivalent to | |
| 03:17 | 2/12 which is 1/6 and the one which is equivalent | |
| 03:20 | to 8/12 which is two thirds for our last row | |
| 03:24 | . We have the one that is equivalent to 4/12 | |
| 03:26 | which is one third And the one which is equivalent | |
| 03:29 | to 6/12 which is 1/2 . So how did you | |
| 03:33 | go with that ? Yours might not look exactly like | |
| 03:35 | this . Maybe you have to half a here in | |
| 03:37 | the third there but you're going to notice that the | |
| 03:39 | rose you have should all be the same as mine | |
| 03:42 | here . Okay , so you should have one half | |
| 03:45 | , one quarter and three quarters in the same row | |
| 03:46 | . But maybe you have it coming from the top | |
| 03:48 | to the bottom there or whatever . Anyway , how | |
| 03:50 | did you go with that ? It's a good little | |
| 03:51 | exercise . Right . Good little challenge . We'll see | |
| 03:55 | you next time . Bye . |
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