Download Multiplying Fractions

Multiplying Fractions
To Multiply Fractions:
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Multiply the numerators of the fractions
Multiply the denominators of the fractions
Place the product of the numerators over the product of the denominators
Simplify the fraction if necessary
Example: Multiply 2/9 and 3/4
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Multiply the numerators (2 x 3 = 6)
Multiply the denominators (9 x 4 = 36)
Place the product of the numerators over the product of the denominators (6/36)
Simplify the Fraction (6/36 = 1/6)
Hint: If you simplify the fractions either numerator/denominator of the same fraction 0R
DIAGONALLY (numerator of one fraction and denominator of the other) before you start, the
products will be more manageable and there will be less simplifying to be done at the end.
Multiplying Fractions by Whole Numbers
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Multiplying a fraction by an integer follows the same rules as multiplying two fractions.
An integer can be considered to be a fraction with a denominator of 1.
Therefore when a fraction is multiplied by an integer the numerator of the fraction is
multiplied by the integer.
The denominator is multiplied by 1 which does not change the denominator.
(simplify if necessary)
Multiplying Mixed Numbers
Multiplying two mixed numbers:
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Convert each mixed number to an improper fraction.
Multiply the two numerators together.
Multiply the two denominators together.
Convert the result back to a mixed number if it is an improper fraction and simplify if
necessar
Example: 6 2/8
x
3 5/9 =
Convert each mixed number to an
improper fraction.
50/8
Multiply the two numerators together.
50 x 32 = 1600
Multiply the two denominators together.
8 x 9 = 72
Convert the result to a mixed number.
1600/72 = 22
Simplify the mixed number.
22 2/9
x
32/9
16/72