Dividing Mixed Numbers - By Anywhere Math
Transcript
| 00:0-1 | Welcome to anywhere . Math . I'm Jeff Jacobson . | |
| 00:02 | And today we're gonna be dividing mixed numbers . Let's | |
| 00:05 | get started . Yeah . Okay let's get started with | |
| 00:25 | . Example 12 and 1/4 divided by 3/8 . Now | |
| 00:29 | dividing with mixed numbers is not a whole lot different | |
| 00:32 | than dividing with fractions . Uh We already have multiplied | |
| 00:37 | with mixed numbers . Uh And if you remember the | |
| 00:40 | first step we did with that is to get rid | |
| 00:43 | of the mixed numbers . Mixed numbers are kind of | |
| 00:45 | hard to deal with . So our first step is | |
| 00:47 | just to make that an improper fraction . So two | |
| 00:50 | and 1/4 becomes well four times two is eight plus | |
| 00:54 | , one is nine becomes 9/4 divided by 38 We've | |
| 01:01 | already done dividing with fractions . And if you haven't | |
| 01:03 | seen that video , go ahead and watch that . | |
| 01:06 | A simple way to remember what to do is keep | |
| 01:09 | change flip divided by a fraction is the same thing | |
| 01:14 | as multiplied by its reciprocal . So this 9/4 that | |
| 01:18 | stays 9/4 . I change right , keep that . | |
| 01:23 | Change the sign to multiplication . And I flipped that | |
| 01:26 | 3/8 to the reciprocal which is 8/3 . And that | |
| 01:31 | is pretty simple , right ? Always try to simplify | |
| 01:34 | before you multiply that four becomes a one , it | |
| 01:37 | becomes a to that becomes a one that becomes a | |
| 01:41 | three . Multiply straight across and I get 6/1 which | |
| 01:46 | is six . Okay , let's try another example . | |
| 01:51 | Okay , example 23 and 56 divided by one and | |
| 01:55 | two thirds . So now we're dividing with two mixed | |
| 01:58 | numbers , approach it the same way . I don't | |
| 02:02 | want to deal with these mixed numbers . So my | |
| 02:03 | first step is to make them improper fractions three and | |
| 02:07 | 56 Well six times three is 18 plus five is | |
| 02:11 | 23 . So that becomes 23 6 divided by uh | |
| 02:17 | three times one is three plus two is five . | |
| 02:20 | That becomes five thirds . Okay now keep change flip | |
| 02:25 | Remember divided by a fraction same is multiplied by its | |
| 02:29 | reciprocal . So to 23/6 times three fists . Now | |
| 02:37 | always try to simplify before I multiply that three becomes | |
| 02:41 | a one , the six becomes a two , nothing | |
| 02:44 | there . So I'm going to multiply straight across and | |
| 02:47 | I get 23/10 . Now at this point I've got | |
| 02:54 | a mix . Sorry I've got an improper fraction . | |
| 02:57 | I want to change that back to a mixed number | |
| 02:59 | . So 10 goes into 23 to hold times and | |
| 03:05 | 10 times two is 20 . So I'm gonna have | |
| 03:07 | three tents left over . And that is my final | |
| 03:13 | answer . Three and 56 divided by one and two | |
| 03:15 | thirds Is two and 3/10 . Here's some to try | |
| 03:18 | on your own . Alright example three evaluate five in | |
| 03:32 | 1/4 divided by one and 1/8 minus two thirds . | |
| 03:36 | So this is a little bit more complicated because it's | |
| 03:39 | not just division . We also have we're subtracting a | |
| 03:42 | fraction at the end so we have to remember our | |
| 03:45 | orders of operations . And with division and subtraction , | |
| 03:49 | division is going to come first so I gotta do | |
| 03:51 | this part and then at the end I'm gonna subtract | |
| 03:53 | two thirds . So again first step let's get rid | |
| 03:57 | of these mixed numbers and let's make them improper fractions | |
| 04:00 | five and 1/4 becomes 21 . Force divided by one | |
| 04:06 | and 1/8 will become 98 and then still have the | |
| 04:11 | minus two thirds there Now divided by a fraction . | |
| 04:15 | The same thing is multiplied by its reciprocal . Keep | |
| 04:18 | 21 4th . Change to multiplication and flip that 289 | |
| 04:25 | minus two thirds is still there . Let's simplify before | |
| 04:30 | we multiply becomes one , that becomes too 21 and | |
| 04:35 | nine have a common factor of three . So that's | |
| 04:39 | gonna become seven and that's gonna become three and that's | |
| 04:44 | all I can do there . So let's multiply those | |
| 04:46 | before we do my subtraction seven times two is 14/1 | |
| 04:52 | times three is three -2/3 . Now I'm not going | |
| 04:58 | to change this fraction to back to a mixed number | |
| 05:02 | because I sell this attract and right now it's really | |
| 05:05 | nice because they both have a common denominator of three | |
| 05:09 | . So 14 3rd minus two thirds . I can | |
| 05:14 | subtract that right now , that becomes 12 3rd which | |
| 05:18 | is four . Okay , here's some to try on | |
| 05:25 | your own as always . Thank you so much for | |
| 05:37 | watching and if you like this video please subscribe . |
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Dividing Mixed Numbers is a free educational video by Anywhere Math.
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