# Fraction Multiplication and Division

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```					Fraction Multiplication and
Division

Review Topic 7
Look at the following examples. Decide
what the rule is for multiplying fractions.
Examples: 2/3 x 1/5 = 2/15
4/5 x 3/ 4 =12/20=3/5 3 3
,
9
 
4 4 16
5     5 3 15 7
3    1
8     8 1 8   8
Rule

Notice: Fraction numbers must be
written as the ratio of two integers to be
multiplied.

a c ac
 
b d bd
Thus to multiply 2 ½ x 1 ¾ x 12
First change the mixed numbers to
improper fractions 5/2 x 7/4 x12/1
to get 420/8
This can be reduced to 52 ½.
Cancellation

One other step can save time.
you multiply the numbers.

3       3
15 7 12 15   7 12     3  7  3 63
                        63
2 4 25  2  1
4 25 5 2  1 5 10    10
Fraction Division

To divide fractions, invert the second
fraction and multiply.
2/3  ½ = 2/3 x 2/1 = 4/3 = 1 1/3.
Rule:

a c a d ad
  x 
b d b c bc
Things to Remember

Notice: DON”T cancel until after the
divisor (second number) is inverted.
For word problems, be very careful
which number to write first in the
problem.
The thing being split, cut apart, or sorted
goes first.
Example:

1   1 10 5 10 2 2 2 4 1
3  2        1
3   2 3 2 3 5 3 1 3 3
Steps

Change to improper
Invert and Multiply
Cancel
Multiply
Simplify

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