Multiplying Fractions
Rule for Multiplying Fractions
The product of two fractions is the fraction whose numerator is the
product of the two numerators and whose denominator is the product
of the two denominators. In symbols, if a,b,c and d represent any
numbers and b and d are not zero, then
Using the Commutative and Associative Properties of
Multiplication with Fractions
When multiplying fractions, the commutative and associative
properties of multiplication are often needed in simplifying.
Dividing out Common Factors Before Multiplying
When multiplying fractions, factor the numerator and denominator
and divide out common factors before multiplying. Your answer will
then always be in lowest form.
Multiplying with Fractions and Exponents
When simplifying expressions with fractions and exponents, use the
order of operations agreement and the exponent rules.
Interpreting “of†When Used with Fractions
The word “of†when used in connection with fractions indicates
multiplication.
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