Multiplying and Dividing 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, (a/b) x (c/d) = (a*c)/(b*d).

Front

What is the product of 3/4 and 2/5?

Back

3/4 x 2/5 = 6/20, which simplifies to 3/10.

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 3/4?

Back

The reciprocal of 3/4 is 4/3.

Front

What is 6/7 divided by 3/7?

Back

6/7 ÷ 3/7 = 2.

Front

If Valerie has a 9 ft ribbon and cuts it into pieces of 2/3 ft, how many pieces can she cut?

Back

Valerie can cut 13 pieces of 2/3 ft.

Front

What is 1/2 x 1/3?

Back

1/2 x 1/3 = 1/6.

Front

What is the simplified form of 15/45?

Back

15/45 simplifies to 1/3.

Front

What is 3/7 x 7/3?

Back

3/7 x 7/3 = 1.