M2L9 Dividing Fractions Using Tape Diagrams

Multiple Choice

Dividing by a fraction is the same as multiplying by its ___ .

• reciprocal
• numerator

• divisor

• quotient

Math Response

p 113

Compute the quotient: 2/3 ÷ 1/4. Choose the correct value.

Type answer here

Correct Answer: \frac{8}{3}

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Multiple Choice

page 113

Which unknown factor equation correctly represents the division expression 1/3 ÷ 1/2?

• $$\frac{1}{3}=\frac{1}{2}\ \times\ ?$$

• $$\frac{1}{3}$$ × ?= $$\frac{1}{2}$$

• $$\frac{1}{3}$$ × ? = $$\frac{1}{6}$$

• 2 × ?= $$\frac{1}{3}$$

Math Response

A tape diagram shows a bar for 1/2 partitioned into equal units, where each unit represents 1/3. How many units fit into 1/2? (the quotient)

Type answer here

Correct Answer: \frac{3}{2}

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Math Response

page 114

Compute the quotient: 3/4 ÷ 1/3.

Type answer here

Correct Answer: \frac{9}{4}

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Math Response

page 114 2 a

Write the exact number that makes the sentence true: 3/4 ÷ 1/2 = 3/4 × ______.

Type answer here

Correct Answer: 2

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Math Response

page 114 2 b

Write the exact number that makes the sentence true: 4/7 ÷ 1/5 = 4/7 × ______.

Type answer here

Correct Answer: 5

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Math Response

page 114 2c

Write the exact number that makes the sentence true: 2/5 ÷ 1/3 = 2/5 × ______.

Type answer here

Correct Answer: 3

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Math Response

page 115 3

Compute the quotient: 4 ÷ 2/3.

Type answer here

Correct Answer: 6

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Math Response

page 115

Compute 4/5 ÷ 2/5?

Type answer here

Correct Answer: 2

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Math Response

page 115

Find the value: 1/2 ÷ 2/3.

Type answer here

Correct Answer: \frac{3}{4}

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Math Response

page 116 #4

Leo pours 1/4 gallon of lemonade into a jug. This amount fills 1/8 of the jug. How many gallons of lemonade fill the whole jug?

Type answer here

Correct Answer: 2

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Math Response

page 117 #5

A faucet fills a bucket at a rate of 1/5 gallon per minute. How many minutes are needed to fill a bucket that holds 7/8 gallon? Express your answer as a mixed number.

Type answer here

Correct Answer: 4\frac{3}{8}

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Math Response

page 117 #6

Ryan picks blueberries and freezes 3/4 of them. He freezes 2 1/2 pounds. How many pounds did Ryan pick in total? Express your answer as a mixed number.

Type answer here

Correct Answer: 3\frac{2}{6}

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Math Response

page 117 #6

"Ryan picks blueberries and freezes 3/4 of them.

He freezes 2 1/2 pounds of blueberries. How many pounds of blueberries did Ryan pick?"

Using a tape diagram, how many units is the tape diagram?

Type answer here

Correct Answer: 4

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Open Ended

page 117 #6

"Ryan picks blueberries and freezes 3/4 of them.

He freezes 2 1/2 pounds of blueberries. How many pounds of blueberries did Ryan pick?"

Please explain step by step how you solve the problem.

Explanation Slide...

I know that Ryan froze 3/4 of the blueberries, and the amount he froze was 2 1/2 pounds. That means 2 1/2 pounds is 3 out of the 4 equal parts of all the blueberries he picked.I drew a tape diagram with 4 equal boxes to show the whole amount Ryan picked. Then I shaded 3 of the boxes to show the part he froze. Those 3 boxes together equal 2 1/2 pounds.To find out how much 1 box is worth, I divided:2 1/2 divided by 3So each box represents 5/6 of a pound.Since the whole diagram has 4 boxes, I multiplied:5/6 x 4= 20/6So Ryan picked 3 1/3 pounds of blueberries altogether.