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, (a/b) × (c/d) = (a×c)/(b×d).

Front

What is a mixed number?

Back

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

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 1 1/2 = (1×2 + 1)/2 = 3/2.

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, (a/b) ÷ (c/d) = (a/b) × (d/c).

Front

What is the result of 2 3/4 × 12?

Back

33.

Front

What is the result of 2 ÷ 1/3?

Back

6.

Front

What is the result of 1/4 ÷ 2?

Back

1/8.

Front

What is the result of 5 × 1/4?

Back

1 1/4.