Adding Fractions - By tecmath
Transcript
| 00:01 | Hello and welcome to adding and subtracting fractions , we'll | |
| 00:04 | get straight into it . And the first one we're | |
| 00:06 | going to be looking at Is how to add fractions | |
| 00:09 | with the same bottom number . And the example here | |
| 00:11 | is 1/8.3 . I'm looking at lots of the pages | |
| 00:14 | down there . If you have 182 pizza and you | |
| 00:17 | have 3/8 of pizza all up , you have four | |
| 00:19 | rates for pizza , you have four bits altogether and | |
| 00:23 | that is the same as you probably see as a | |
| 00:26 | heart . Okay , nice and easy . Bottom number | |
| 00:30 | stays the same . You know , I think you're | |
| 00:31 | adding is the top number . So next we'll look | |
| 00:34 | at where you have a different bottom number , what | |
| 00:35 | you do . And the example here is where you've | |
| 00:37 | got a one plus a half . What you need | |
| 00:41 | to do here is to bottom number's the same , | |
| 00:45 | remembering the stuff that you did on equivalent fractions earlier | |
| 00:49 | . The way that we can do this is by | |
| 00:51 | changing the half To a number over eight . And | |
| 00:55 | to do this , we multiply the top and the | |
| 00:57 | bottom number on the half white four , Which makes | |
| 01:00 | it into four rates . Sorry , we end up | |
| 01:04 | with equation 18 plus four rates . Which altogether is | |
| 01:08 | fire bates . Okay . Something a bit more difficult | |
| 01:13 | now . 2/3 plus a quarter . Yeah . To | |
| 01:16 | work out what we're gonna have to change these fractures | |
| 01:18 | in . So we're gonna be looking for a number | |
| 01:20 | that both three and four go into the bottom numbers | |
| 01:24 | of both these fractions . And that number is You | |
| 01:28 | get 2/3 the number over 12 . We need to | |
| 01:30 | multiply the top on the bottom by four to get | |
| 01:33 | one quarter is a number over 12 . We need | |
| 01:35 | to multiply the top and the bottom number by three | |
| 01:38 | . So doing this , We'll see obviously the bottom | |
| 01:41 | number on the new fracture and the answer is going | |
| 01:44 | to be 12 for the top 12 3rd were going | |
| 01:46 | to be multiplying that by 42 by four is eight | |
| 01:51 | . And then for the one quarter or one times | |
| 01:52 | the bottom number there by three . So one times | |
| 01:54 | three is three . This leaves us with eight plus | |
| 01:59 | 3/12 . The answer is 11/12 . The next thing | |
| 02:06 | we're gonna look at is how to add when you | |
| 02:08 | got mixed numbers involved . So look around about some | |
| 02:13 | there's 11 and 7/8 plus two and a quarter . | |
| 02:15 | You see around about the air probably is going to | |
| 02:18 | be a little bit more than four . We'll just | |
| 02:20 | keep that in mind . The first thing you do | |
| 02:22 | with these is you have to change these mixed numbers | |
| 02:25 | improper fractions . So one and 7/8 becomes 15/8 and | |
| 02:30 | to the quarter becomes 9/4 . Okay , It's the | |
| 02:36 | first step . The second thing you're going to have | |
| 02:39 | to do , you're going to have to make those | |
| 02:41 | bottom number's the same again . So Both bottom number's | |
| 02:44 | going to eight . Okay . 15 AIDS fine . | |
| 02:48 | Nine over . We're going to have to multiply by | |
| 02:51 | two , both the top and the bottom . Okay | |
| 02:54 | , so can see nine times two is going to | |
| 02:59 | give 18 , which gives us the equation 15 plus | |
| 03:01 | 18 over 15 Lus 1833 . The bottom number stays | |
| 03:07 | the same as a We can simplify this a little | |
| 03:10 | bit further now . 33 divided by eight Gives us | |
| 03:14 | four with one left over . So we put that | |
| 03:15 | one over . Finally what we're going to have a | |
| 03:18 | look at is the idea of subtraction . The idea | |
| 03:21 | with subtraction is exactly the same . So we get | |
| 03:24 | an example here is 7/8 take away 6/8 . 78 | |
| 03:28 | take away Six states is well , can it then | |
| 03:32 | ? Six sites . Five votes four rights . Three | |
| 03:37 | heights to icts . What ? Pretty easy . And | |
| 03:42 | you can have a look at it . Seven take | |
| 03:44 | away six is one . So 78 take away six | |
| 03:47 | states is one . The next example look at is | |
| 03:51 | where we've got a mixed number or a whole No | |
| 03:54 | . two take away five over . Yeah . The | |
| 03:57 | way to change to into a fraction . As you | |
| 03:59 | can see on the Pizza's here . Each bit has | |
| 04:02 | eight slices . So all up to bits of Pizza | |
| 04:04 | has 16 slices . We can write that . The | |
| 04:07 | two is a fraction of 16 over . Okay , | |
| 04:12 | which Makes sense . 16 divided by eight is too | |
| 04:15 | So 16/8 take away five over . We can slowly | |
| 04:19 | take all these away 16 take away five usual 11 | |
| 04:23 | . The bottom number is going to stay the same | |
| 04:27 | . So this can be simplified further to become one | |
| 04:31 | and 3/8 . Just to sum up the steps involved | |
| 04:35 | in adding and subtracting fractions are as follows . The | |
| 04:38 | first thing you have to do is you have to | |
| 04:40 | turn any mixed number into an improper fraction . The | |
| 04:44 | next thing you have to do as you have to | |
| 04:45 | use the equivalent fractions , the idea of equivalent fractions | |
| 04:49 | so that you make the bottom numbers on the fractions | |
| 04:51 | to say before you actually go ahead and then complete | |
| 04:54 | the question as required . Once you've done the question | |
| 04:58 | , just do any simplification or anything like that just | |
| 05:00 | to make your answer a bit easier to understand anyway | |
| 05:04 | . Good luck with all that . See you next | |
| 05:06 | time . |
Summarizer
DESCRIPTION:
OVERVIEW:
Adding Fractions is a free educational video by tecmath.
This page not only allows students and teachers view Adding Fractions videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.
GRADES:
STANDARDS:
