Multiplying Fractions & Whole Numbers

Multiplying Fractions & Whole Numbers

When we multiply fractions by a whole number we should:

• Draw bar models to represent the multiplication problem.

• Show the multiplication on a number line.

• Sometimes we may need to change our answer from a fraction greater than 1 (an improper fraction) to a mixed number.

Betsy ordered 3 pizzas for her party. 2/3 of the pizzas were left over. How many pizzas were left over?

Use a drawing to show 2/3 x 3. What answer did you get?

The answer would be 6/3. However, that is a fraction greater than 1, so I need to change it into a mixed number.

By decomposing 6/3, I can say it is 3/3 + 3/3 which equals 2.

Multiple Choice

A restaurant uses 1/3 cup of mayonnaise in each batch of salad dressing. How many cups of mayonnaise would they use in 7 batches?

• 7 1/3 cups

• 7/13 cups

• 7/3 cups

• 17/3 cups

Multiple Choice

Sue is baking cherry pies for dinner. She plans each of the 15 guests will eat 1/5 of a pie. How many pies will she need to bake?

• 15

• 5/15

• 15/5

• 3

Multiple Choice

Tom picked ten plums from a tree in the garden and ate 3/5 of them. How many plums did Tom eat?

• 10

• 6

• 5

• 3

Multiple Choice

Frank and his mom visited the zoo. They saw 24 animals.

-¼ of the animals were birds

-The rest were mammals

How many mammals did they see at the zoo?

• 6

• 12

• 18

• 24

Multiple Choice

A farmer owns 4 acres of farmland. He grows

potatoes on 3/8 of the land. On how many

acres of land does the farmer grow potatoes?

• 12 3/8 acres

• 1 1/2 acres

• 1 3/8 acres

• 2 1/2 acres

Let's practice changing fractions greater than one to a mixed number.

Multiple Choice

Show this fraction greater than 1 as a mixed number.

• 3 3/5

• 3 2/5

• 4 4/5

• 4 3/18

Multiple Choice

How can you show this fraction greater than 1 as a mixed number?

⁷/₃

• 1 1/3

• 2/3

• 3

• 2 1/3

Multiple Choice

How can you show this fraction greater than 1 as a mixed number?

14/4

• 1 4/4

• 3 1/2

• 2 2/4

• 4 2/4