Fractions made easy - adding three fractions fast - By tecmath
Transcript
| 00:00 | Welcome to the Tech Math channel . What are we | |
| 00:02 | looking at in this video is I'm going to be | |
| 00:04 | looking at a way of adding multiple fractions together . | |
| 00:07 | So more than two , we're looking at adding three | |
| 00:09 | or more fractions together . Now , this is in | |
| 00:12 | response to a question that somebody or a comment that | |
| 00:15 | somebody had on the video where I was looking at | |
| 00:18 | adding just two fractions together . They said , well | |
| 00:20 | what about if you're adding three fractions together ? So | |
| 00:23 | I quickly had to look at it and this is | |
| 00:25 | what I've come up with anyway , so it seems | |
| 00:27 | to work . So first off , what we were | |
| 00:30 | looking at , the first time when I was adding | |
| 00:31 | fractions was this sort of thing where we're adding say | |
| 00:34 | I have and we were adding to these 2/3 and | |
| 00:40 | the way that we were doing this was this Bowtie | |
| 00:42 | method . So very quickly a recap , easier to | |
| 00:45 | get the bottom number . We multiply these numbers two | |
| 00:47 | , threes , the six To get this number here | |
| 00:52 | , we went one times three which is three . | |
| 00:55 | And to get this next number here , we went | |
| 00:57 | two times two , which is four . We kept | |
| 00:59 | the same sign which is plus and we equal three | |
| 01:04 | plus 4 to 7/6 , which is equal to one | |
| 01:07 | and 1/6 . Now look , uh and if you | |
| 01:10 | haven't seen this particular video , I really recommend you | |
| 01:13 | have a bit of a look . Okay , It's | |
| 01:15 | called the Bowtie method , because first you do this | |
| 01:17 | section , but then you do this by this and | |
| 01:20 | then this by this and it looks a bit like | |
| 01:22 | a bow tie , but somebody quite rightly asked what | |
| 01:26 | happens if you have three fractions and this is what | |
| 01:30 | I've worked out with this . So say we want | |
| 01:33 | to work out something slightly different , Say I want | |
| 01:36 | to work out a half plus a third . I'm | |
| 01:41 | going to go fairly easy ones plus uh three quarters | |
| 01:49 | . Uh Yeah . How do we work this out | |
| 01:51 | ? This is what I just had a quick look | |
| 01:53 | at and worked out . First off to get the | |
| 01:56 | bottom number , we do the same sort of thing | |
| 01:58 | . We're gonna times all these numbers together . Two | |
| 02:00 | times three . Six Todd's four Is 6424 . Okay | |
| 02:06 | , so we got the bottom number . Uh huh | |
| 02:10 | . Now we're gonna have to deal with three . | |
| 02:13 | No that's where we're gonna be working to get this | |
| 02:14 | first number . What we do is we literally multiply | |
| 02:19 | it by this number . There is this number for | |
| 02:22 | this number for this number . Okay well we work | |
| 02:25 | in the middle one , we're going to multiply this | |
| 02:26 | number by this number . This one when we get | |
| 02:28 | this one we're gonna go this one by this one | |
| 02:29 | by this one . Okay , so you might see | |
| 02:30 | the pattern there . So This one here is one | |
| 02:34 | times 3 times four which was 12 . This one | |
| 02:39 | here is one times two times for which is right | |
| 02:44 | , We're gonna be passing that and I'm gonna be | |
| 02:46 | passing three times 3 which is nine Times II which | |
| 02:51 | is 18 . So if we do this , what | |
| 02:54 | we do is we get 2038 over 24 and this | |
| 03:04 | is going to equal one with 14/24 left over And | |
| 03:12 | we can simplify this even further . This equals one | |
| 03:15 | with 7/12 . Okay , did you like that method | |
| 03:22 | ? Okay , I just go through one more example | |
| 03:24 | of this . So what about we do one with | |
| 03:29 | this attraction ? I'll be honest with you . I | |
| 03:31 | haven't tested this out on too many numbers yet , | |
| 03:33 | so I'm interested to see give people are finding this | |
| 03:36 | working or not . Um But I'm pretty sure it | |
| 03:39 | does to say I do well with this attraction , | |
| 03:41 | I'm going to do uh two thirds plus a quarter | |
| 03:50 | mortise one . Okay So to get the bottom number | |
| 03:56 | once again what we do is we multiply three times | |
| 03:59 | four times two I'm gonna choose some different numbers here | |
| 04:02 | . Yeah . Let's face it . I'm gonna choose | |
| 04:03 | a different I mean I'm gonna make this minus 50 | |
| 04:06 | because I was gonna end up with the same bottom | |
| 04:08 | number . I don't want that . So three times | |
| 04:09 | four is 12 times five and 65 . And let's | |
| 04:16 | start getting and so we're starting with the left one | |
| 04:18 | here too . Times four is I'd times five it's | |
| 04:26 | 40 . Okay so two times four is 85 . | |
| 04:30 | It's 40 . Mhm . Then we're gonna get this | |
| 04:33 | middle over here which is three times 1 times five | |
| 04:38 | which is 15 . And this number here which is | |
| 04:41 | five times 1 . Yeah , sorry , one times | |
| 04:45 | 4 times three which is 12 . Okay , So | |
| 04:50 | we're gonna end up with the same symbols in between | |
| 04:52 | . So 40 plus 15 is 55 . Take away | |
| 04:57 | . 12 is 40 three over 60 . So I | |
| 05:04 | wonder if that's the answer you got . Let us | |
| 05:06 | know how you go . That's what I worked out | |
| 05:08 | anyway . Um Anyway , thanks for the comment . | |
| 05:12 | I hope that answers your question for you . See | |
| 05:14 | you next time . Bye . |
Summarizer
DESCRIPTION:
OVERVIEW:
Fractions made easy - adding three fractions fast is a free educational video by tecmath.
This page not only allows students and teachers view Fractions made easy - adding three fractions fast videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.
GRADES:
STANDARDS:
