how do you multiply and divide fractions?

Question

what if it includes whole numbers and it's a mixed fraction?

Answer 1

thats very simple to multiply a fraction you just multiply straight across. Numerator times numerator, denominator times denominator.

EX: 1/2 * 1/2 = 1/4 or 2/3 *2/3 = 4/9

To divide a fraction its almost basically the same. First you take the "recipricol" of the second fraction. That just means you flip it upside down. Like so

EX: 1/2 divided by 1/2 would become this. 1/2 * 2/1.
notice it becomes a multiplication problem now. So you work it jsut like a mult. problem

heres another example to be sure. 2/3 divided by 5/6 would become 2/3*6/5 = 12/15

Answer 2

when you multiply fractions, you just multiply straight across. To divide, you must first take the second fraction, and switch the denominator and the numerator, then multiply. It's rather simple. Like this: 2/5 x 2/5=4/25; 2/5 divided by 2/5 = 2/5 x 5/2=10/10=1.

Answer 3

you have to multiply or divide both sides for example:the numerator is 9 and the denominator is 15.This other fraction's numerator is 3 and the denominator is 5.You have to make 3 over 5 have the same denominator so the denominator 5 x 3=15.Then, you have to multiply the numerator with the number that you multiplied with thednomenator.3x3=9.Finally, you can multiply the numerator of the new fraction ( 9 over 15) with the numerator of the other fraction ( 9 over 15).

Answer 4

Heres an example

Multiply 2/3 by 3/4

2 x 3 = 6
3 x 4 =12

answer 6/12 or 1/2

Divide 2/3 by 3/4

2 x 4 = 8
3 x 3 = 9

answer 8/9

its as simple as that, just remember when you divide turn the second one upside down.

Answer 5

You multiply (or divide) numerators and denominators separately.

Example: 2/3 x 3/4 = 6/12 (i.e. (2X3)/(3x4)), or 1/2

Note that in a multiplication, your result is lower than your initial fractions, in the case where there are lower than one (That's because multiplied by 1/3 is the same as divided by three). The reverse is true of divisions.

Answer 6

(a/b) × (c/d) = (ac)/(bd)
(a/b) ÷ (c/d) = (ad)/(bc)

Edit: mixed numbers can be multiplied and divided in one of two ways. First, you can convert them into improper fractions and multiply as normal. The second method, which is sometimes faster, is to consider the mixed number algebraically:

a b/c = a + b/c

At which point multiplying it becomes a simple case of the distributive property:
(a+b/c)(d+e/f) = ad + ae/f + db/c + (be)/(cf)

Of course, you still have to add these quantities together - the advantage of this method is that sometimes it is faster to compute this sum than it is to convert into improper fractions, especially if the integer part of both numbers is very large. Also, this trick only works for multiplication - division you have to do by converting to improper fractions, taking the reciprocal, and multiplying.

Answer 7

divid the numerator by the deomenator multiply any number by the top and bottom 1/3 times 1/3 equals 1/9

Answer 8

Multiply by going across numerator (top number) times numerator and denominator (bottom number) time denominator .

Example 1/2 X 1/2 = (1x1)/(2x2) = 1/4

Division is calculated by multiplying diagonally.

Example 1/2 divide by 1/2 = (1x2)/(1x2) = 2/2 = 1

Sorry it is difficult to type mathematics in this forum.

Answer 9

You multiply fractions by multiplying the numerator and denomenator:

X/Y multiplied by N/M equals (X x N)/(Y x M)

To divide fractions you simply flip the fraction you are dividing by and multiply.

X/Y divided by N/M equals (X x M) x (Y * N)

Answer 10

just like they should be:
MULTIPLICATION
(2/3) x (3/5) = 6/15 or 2/5: Multiply straight across

DIVISION
(2/3) / (3/5) = 10/9 or 1 1/9: Multiply top of first with bottom of 2nd and put number on top (numerator), then bottom of first with top of second and put that on the bottom (denominator). You start top-to-bottom and put it on top, then go to the bottom-to-top and put it on the bottom.