Lesson 6: Practice Problems

Problem 1

We can think of $3 \div \frac{1}{4}$ as the question “How many groups of $\frac{1}{4}$ are in 3?” Draw a tape diagram to represent this question. Then find the answer.

Problem 2

Describe how to draw a tape diagram to represent and answer $3 \div \frac{3}{5} = ?$ for a friend who was absent.

Problem 3

How many groups of $\frac{1}{2}$ days are in 1 week?

Write a multiplication equation or a division equation to represent the question.
Draw a tape diagram to show the relationship between the quantities and to answer the question. Use graph paper, if needed.

Problem 4

Diego said that the answer to the question “How many groups of $\frac{5}{6}$ are in 1?” is $\frac{6}{5}$ or $1 \frac{1}{5}$ . Do you agree with his statement? Explain or show your reasoning.

Problem 5 From Unit 4 Lesson 5

Select all equations that can represent the question: “How many groups of $\frac{4}{5}$ are in 1?”

$? \cdot 1 = \frac{4}{5}$
$1 \cdot \frac{4}{5} = ?$
$\frac{4}{5} \div 1 = ?$
$? \cdot \frac{4}{5} = 1$
$1 \div \frac{4}{5} = ?$

Problem 6 From Unit 3 Lesson 14

Calculate each percentage mentally.

What is 10% of 70?
What is 10% of 110?
What is 25% of 160?
What is 25% of 48?
What is 50% of 90?
What is 50% of 350?
What is 75% of 300?
What is 75% of 48?