Multiplying and Dividing Fractions and Mixed Numbers

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 3/4 = (1*3)/(2*4) = 3/8.

Front

What is a mixed number?

Back

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

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator and add the numerator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, 1/2 ÷ 3/4 = 1/2 x 4/3 = 4/6 = 2/3.

Front

What is the result of 1/6 ÷ 3?

Back

1/6 ÷ 3 = 1/18.

Front

What is the result of 5 x 1/4?

Back

5 x 1/4 = 1 1/4.

Front

What is the result of 2 ÷ 1/4?

Back

2 ÷ 1/4 = 8.

Front

What is the result of 7/9 ÷ 1/2?

Back

7/9 ÷ 1/2 = 14/9.