Multiplying Mixed Numbers?

Question

Need help learning HOW to multiply mixed numbers. Here's one of the problems:

4 2/7 x 6 2/5

Answer 1

Easiest way is to convert to improper fraction then multiple them normally.

4 2/7 = 30/7
6 2/5 = 32/5

30/7 * 32/5 = (30*32)/(7*5) = 192/7 = 27 3/7

Answer 2

Multiplying mixed numbers is a very simple thing,once you know the method.

When multiplying mixed numbers always put it in to the form of an improper fraction.

4 2/7 becomes 30/7
6 2/5 becomes 32/5

Then you start multiplying the numbers diagonally.

30/7 x 32/5

30 is a multiple of 5,therefore you can simplify both fractions.

After being simplified the two fractions will look like this:

6/7 x 32/1

32 isn't a multiple of 7,therefore you can't simplify them.

Now you just multiple both of the factors.

6 x 32 = 192
and 7 x 1 =7

Then you divide 192 by 7 to make the improper fraction in to a mixed number.

The final answer is

192 divided by 7 is 27

so you multiply 27 by 7=189

Then subtract 189 from 192 which gives you 3.

SO THE ANSWER WILL BE 27 3/7 !!!

hope that helps

Answer 3

When you multiply mixed numbers, you want to convert them into plain ol' fractions. This makes multiplying them together MUCH easier.

To convert 4 2/7 into a fraction, multiply the unit (in this case 4) with the denominator (the number on the bottom of the fraction, in this case 7) and add that to the numerator ( the number on the top of a fraction, in this case 2). Then slap that on top of the denominator.

So...

4x7=28
28+2=30
You get 30/7

Repeat the process with 6 2/5
6x5=30
30+2=32
You get 32/5


Then you multiply the numerators (30x32) and the denominators (5x7), and use that as a fraction.

So..
30x32 = 960
5x7 = 35
You'd get 960/35

Now we simplify this. To simplify a fraction, you divide the numerator by the denominator.

960/35 = 27 remainder 15

You want to use remainders instead of fractions or decimals because it makes the next step easier.

So we have 27 remainder 15. The whole number is 27, and the remainder, in this case 15, becomes the new numerator.

Now we have 27 15/35

We simplify the 15/35 by dividing the numerator and denominator by the same number. 5 works best here. By dividing both by 5, we end up with 3/7

So...

4 2/7 x 6 2/5 = 27 3/7


I hope this helps. If you're still having trouble, ask a parent or an older sibling, they'll be glad to help.

Answer 4

Convert back to improper fractions instead of multiplying directly. To do so, if you have the mixed number x y/z, do xz+y; that becomes your new numerator for the improper fraction. Here, you have 4 2/7 and 6 2/5. To convert 4 2/7, do 2+4*7, and get 30, so 4 2/7 = 30/7. For 6 2/5, 2+6*5 = 32, so 6 2/5 = 32/5. Then with the regular method of fraction multiplication, 32*30/7*5 is 960/35. Convert back to a mixed number, 960/35 giving you 2715/35. Simplify, and get 25 3/7. That's your answer.

Answer 5

Here's just another way of multiplying mixed numbers without resorting to improper fractions and the accompanying "large" numerator. This method also allows one to multiply mixed numbers quickly and accurately without relying on a calculator or pencil and paper. Follow each step until you can "see" what is going on. It's rather simple once you see it.

4 2/7 x 6 2/5

= (4 + 2/7)(6 + 2/5)

= 4*6 + 4*(2/5) + 6*(2/7) + (2/7) * (2/5)

= 24 + 8/5 + 12/7 + 4/35

= 24 + 1 3/5 + 1 5/7 + 4/35

= (24 + 1 + 1) + 21/35 + 25/35 + 4/35

= 26 + 50/35

= 26 + 10/7

= 26 + 1 3/7

= 27 3/7

Answer 6

First thing you need to do is to make two improper fractions (Fractions with the numerator (top number) being larger than the denominator (bottom number)). You can do this by multiplying the whole number of each mixed number with the denominator of its corresponding fraction. Then you add this new number with the numerator to get a total for each fraction. Remove the whole numbers and numerators from each mixed number, and place the total for each mixed number where the numerator would be.

In this problem you should have 30/7 x 32/5

To solve this problem you must multiply the numerators together and the denominators together (30 x 32)/(7 x 5). This will give you a new single fraction of 960/35. Now change that number into a mixed number if need be and simplify.

Answer 7

Simple :)

Put them all as TOP-HEAVY FRACTIONS (or improper fractions, whichever you learnt it is called)

So 4 2/7 is 30/7
and
6 2/5 is 32/5

multiply them:

30/7 x 32/5 = 960/35

Simplify them, then change them to Mixed numbers if the question specifies.

Answer 8

Well, first you must make your mixed numver into an improper fraction like 20 over 10, you can do that be multiplying th bottom number of the fraction by the whole number then add that number to ur top number of the fraction. Then put that answer you got from that over ur original bottom number of the fraction part of the mixed number. Then u will have a improper fraction which u can multiple by making a whole number into a improper fraction as well by putting the whole number on top of a 1. Then cancel the numbers and multiply. I'm Not giving u the answers, just giving example up top: heres the answer/problem: 17/4 x5/1=85/4 which u reduce by dividing!

Answer 9

4 2/7 x 6 2/5= 30/7 * 32/5=

make the 5 a 1 and 30 a 6

6/7* 32/1= 192/7= 27 3/7

Answer 10

4 2/7 = (4*7+2) /7=30/7
6 2/5 = (6*5+2)/5 =32/5
=> 4 2/7 x 6 2/5 = 30/7 . 32/5 =960/35
4 2/7 = 4+2/7
6 2/5 = 6+2/5
=>4 2/7 x 6 2/5 =( 4+ 2/7) x( 6+ 2/5)
= 24+ 8/5+ 12/7+14/35 =...
happy new year