M2 Lesson 11 Dividing Fractions: Real-World Applications

Multiple Select

Which of the following are correct steps in the division algorithm for fractions?

• Keep the first fraction the same

• Change the division sign to multiplication

• Flip the second fraction (find the reciprocal)

• Add the numerators

Multiple Choice

What is the first step when dividing mixed numbers?

• Convert mixed numbers to improper fractions

• Invert the second fraction

• Multiply the fractions

• Simplify the answer

Multiple Choice

Noah pours 8 gallons of water into a tank, which fills 2/5 of the tank. How many gallons must Noah pour to fill the whole tank?

• 20

• 10

• 12.5

• 16

Dropdown

To divide fractions, you should invert the divisor and then ___ the fractions.

Select answer

Multiple Choice

page 137 #1

Ryan’s rectangular tabletop measures 4 1/2 feet by 1 1/4 feet. He wants to cover it with identical rectangular tiles that each measure 1 1/2 inches by 7/8 inch, without cutting any tiles. Based on fraction division and unit conversion (12 inches = 1 foot), can he exactly cover the tabletop using whole tiles?

• Yes

• No

Multiple Select

If 2/3 quarts of water fill 3/4 of a container, how many containers will 1 quart of water fill?

• 2/3 × 3/4

• 1 ÷ (2/3 of 3/4)

• 1 ÷ (2/3) of 3/4

• 1 ÷ (3/4)

Multiple Select

If 2/3 quarts of water fill 3/4 of a container, how many quarts of water are in 1 container?

• 1 ÷ (2/3 of 3/4)

• 1 ÷ (2/3) of 3/4

• 1 ÷ (3/4)

Multiple Select

If Jada pours 2/3 of 3/4 quarts of water out of a container, how much water does Jada pour out?

• 1 ÷ (2/3 of 3/4)

• 1 ÷ (2/3) of 3/4

• 1 ÷ (3/4)

Math Response

page 139 #3

Kayla has 8 cups of oats. Her recipe for one batch of scones calls for 1 2/3 cups of oats. How many batches of scones can Kayla make?

Type answer here

Correct Answer: 4\frac{4}{5}

Deg^°

Rad

Math Response

page 139 #4

A kitchen faucet flows at a rate of 7/8 gallons per minute. At this rate, how many minutes does it take to fill a jug that holds 2 1/4 gallons?

Type answer here

Correct Answer: 2\frac{4}{7}

Deg^°

Rad

Math Response

A runner plans to run 7 1/2 miles. He runs only 2 1/4 miles. What fraction of his planned distance does the runner run?

Type answer here

Correct Answer: \frac{3}{10}

Deg^°

Rad

Math Response

page 140 #6

When 6 1/2 tiles are placed end to end, the total length of the tiles is 4 feet 4 inches. What is the length of each tile in feet? (1 foot = 12 inches)

Each tile is __feet long

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Math Response

One serving of yogurt is 3/4 cups. Tyler eats 1 cup of yogurt. How many servings of yogurt does Tyler eat?

Tyler eats ___ servings of yogurt.

Type answer here

Correct Answer: 1\frac{1}{3}

Deg^°

Rad

Math Response

page 141

Lacy is 3 1/2 feet tall. Her big brother Leo is 5 1/4 feet tall. How many times as tall as Lacy is Leo?

Leo is __ times as tall as Lacy.

Type answer here

Correct Answer: 1\frac{1}{2}

Deg^°

Rad

Math Response

page 141 #9

The orange scissors are 8 1/4 inches long. The pink scissors are 2/3 as long as the orange scissors. How long are the pink scissors in inches?

The pink scissors are___ inches long.

Type answer here

Correct Answer: 5\frac{1}{2}

Deg^°

Rad

Multiple Choice

Which word problem could be solved by the expression 4 1/4 ÷ 2/3?

• A ribbon is 4 1/4 yards long. How many 2/3-yard bows can be made from it?

• A tank holds 4 1/4 gallons. It is filled to 2/3 of its capacity. How much water is in the tank?

• A runner completes 4 1/4 miles in 2/3 hour. What is the runner’s speed in miles per hour?

• A recipe uses 2/3 cup of sugar for each batch. If you have 4 1/4 cups of sugar, how many cups are left after making one batch?