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 two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, 1/2 x 3/4 = (1x3)/(2x4) = 3/8.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a 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, then add the numerator. Place this result over the original denominator. For example, 2 1/2 = (2x2 + 1)/2 = 5/2.

Front

What is the first step in changing a mixed number to an improper fraction?

Back

Multiply the whole number and the denominator.

Front

How do you divide fractions?

Back

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

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 does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the result of 6/7 divided by 3/7?

Back

The result is 2.

Front

What is the result of 5/3 ÷ 15/7?

Back

The result is 7/9.