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# 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 â€œofâ€ When Used with Fractions

The word â€œofâ€ when used in connection with fractions indicates multiplication.