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Grade 6 | Unit 4 | Lesson 11: Using an Algorithm to Divide Fractions | Practice Problems

Total questions: 7

Worksheet time: 16mins

Name
Class
Date
1.

Select all the statements that show correct reasoning for finding .

a)

Multiplying by 5 and then by .

b)

Dividing by 5, and then multiplying by .

c)

Multiplying by 7, and then multiplying by .

d)

Multiplying by 5 and then dividing by 7.

e)

Multiplying by 7 and then dividing by 5.

2.

Clare said that 43÷52\frac{4}{3}\div\frac52 is . She reasoned: and . Explain why Clare’s answer and reasoning are incorrect. Find the correct quotient.

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3.

Find the value of . Show your reasoning.

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4.

Consider the problem: Kiran has 2342\frac34 pounds of flour. When he divides the flour into equal-sized bags, he fills 4184\frac18 bags. How many pounds fit in each bag? Write a multiplication equation and a division equation to represent the question. Then, find the answer and show your reasoning.

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5.

Divide 4124\frac12 by each of these unit fractions.

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6.

Consider the problem: After charging for 13\frac13 of an hour, a phone is at 25\frac25 of its full power. How long will it take the phone to charge completely? Decide whether each equation can represent the situation.

a)

b)

13÷25=?\frac13\div \frac25={?}

c)

25÷13=?\frac25 \div \frac13 ={?}

d)

7.

Elena and Noah are each filling a bucket with water. Noah’s bucket is 25\frac25 full and the water weighs 2122\frac12 pounds. How much does Elena’s water weigh if her bucket is full and her bucket is identical to Noah’s? Write multiplication and division equations to represent the question.

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