Multiplying and Dividing Fractions Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator and 'b' is the denominator.

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What does it mean to divide fractions?

Back

Dividing fractions involves multiplying by the reciprocal of the divisor. For example, (a/b) ÷ (c/d) = (a/b) x (d/c).

Front

How do you solve a word problem involving multiplying fractions?

Back

Identify the quantities involved, determine if you need to multiply, and then multiply the fractions as needed.

Front

How do you solve a word problem involving dividing fractions?

Back

Identify the quantities involved, determine if you need to divide, and then divide the fractions by multiplying by the reciprocal.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

When do you multiply fractions in word problems?

Back

You multiply fractions when you are finding a part of a part, such as when a fraction of a quantity is needed.

Front

When do you divide fractions in word problems?

Back

You divide fractions when you are determining how many times one fraction fits into another or when comparing parts.

Front

What is an example of a multiplication word problem with fractions?

Back

If a recipe calls for 2/3 cup of sugar and you want to make half of the recipe, you would calculate (2/3) x (1/2) = 1/3 cup of sugar.

Front

What is an example of a division word problem with fractions?

Back

If you have 3/4 of a pizza and want to share it equally among 3 friends, you would calculate (3/4) ÷ 3 = 1/4 of a pizza per friend.