Multiply and Divide Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 1/2 x 4/5 = (1x4)/(2x5) = 4/10 = 2/5 after simplification.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

What is the result of 1/4 ÷ 2?

Back

1/4 ÷ 2 = 1/4 x 1/2 = 1/8.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b x d/c.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What is 3 ⅗ x 2 ⅔?

Back

3 ⅗ x 2 ⅔ = (18/5) x (8/3) = 144/15 = 9 3/5 after simplification.

Front

What is the first step in multiplying mixed numbers?

Back

Convert the mixed number to an improper fraction before multiplying.

Front

What is the result of 5/3 ÷ 15/7?

Back

5/3 ÷ 15/7 = 5/3 x 7/15 = 35/45 = 7/9 after simplification.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.