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|| PRE-ALGEBRA ||

|| MULTIPLICATION OF FRACTIONS ||

FOR AGES 10 AND 11

POINTS TO REMEMBER :

Just as the multiplication of whole numbers, the multiplication of fractions is important in math. It helps to divide fractions, add fractions, and other things.

Fractions have numerator and denominator.

* Do not cross - multiply fractions.

** Just like simple multiplication of whole numbers and decimals, you can multiply more than two fractions together in one problem.

*** When multiplying fractions, multiply the numerators by the numerators and the denominators by the denominators.

Then reduce the product to its simplest form.

For Example:

1.  Problem: 3  _x  10

                     5      12

    Solution:

    First, multiply the numerator by the numerator.

                    3  x  10  =  30

    And, multiply the denominator by the denominator.

                    5  x  12  =  60

    Next, find the GCF of the numerator and denominator of the product.

                   GCF(30, 60) = 30

    Then, divide the numerator and denominator by the GCF.

                   30  /  30  =  1

                   60  /  30  =  2

     The answer is 1/2.

2.  Problem:   1     3     4      12

                       --  x --  x --  = ---

                                    3     4      5     60  

    Solution:

    First, multiply the numerator by the numerator.

                    1 x 3  x  4  =  12

    And, multiply the denominator by the denominator.

                    3 x 4 x 5  =  60

    Next, find the GCF of the numerator and denominator of the product.

                   GCF(12, 60) = 12

    Then, divide the numerator and denominator by the GCF.

                   12  /  12  =  1

                   60  /  12  =  5

     The answer is 1/5.

NEXT

TERRIFIC!!!

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