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 (part) and 'b' is the denominator (whole).

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 does it mean to divide fractions?

Back

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

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 find a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the fraction. For example, to find 1/2 of 8, calculate 1/2 * 8 = 4.

Front

What is the process to solve a word problem involving fractions?

Back

1. Read the problem carefully. 2. Identify the fractions involved. 3. Determine whether to multiply or divide. 4. Perform the calculation. 5. Write the answer in context.

Front

If 1/3 of a pizza remains and Rachel eats 1/2 of it, how much pizza does she eat?

Back

Rachel eats 1/2 of 1/3 pizza, which is (1/2) * (1/3) = 1/6 of a pizza.

Front

You have 2/3 quart of lemonade and pour it into 6 glasses. How much does each glass contain?

Back

Each glass contains (2/3) ÷ 6 = (2/3) * (1/6) = 2/18 = 1/9 quart.

Front

Mrs. Diego has 3 cups of sugar and divides it into containers of 1/3 cup each. How many containers can she fill?

Back

She can fill 3 ÷ (1/3) = 3 * 3 = 9 containers.

Front

Keisha needs ½ potato per guest for 9 guests. How many potatoes does she need?

Back

She needs 9 * (1/2) = 4 1/2 potatoes.