Lesson 11: Practice Problems

Problem 1

Use long division to show that the fraction and decimal in each pair are equal.

$\frac{3}{4}$ and 0.75
$\frac{3}{50}$ and 0.06
$\frac{7}{25}$ and 0.28

Problem 2

Mai walked $\frac{1}{8}$ of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning.

Problem 3

Use long division to find each quotient. Write your answer as a decimal.

$99 \div 12$
$216 \div 5$
$1, 988 \div 8$

Problem 4

Tyler reasoned: “ $\frac{9}{25}$ is equivalent to $\frac{18}{50}$ and to $\frac{36}{100}$ , so the decimal of $\frac{9}{25}$ is 0.36.”

Use long division to show that Tyler is correct.
Is the decimal of $\frac{18}{50}$ also 0.36? Use long division to support your answer.

Problem 5 From Unit 5 Lesson 4

Complete the calculations so that each shows the correct difference.

Problem 6 From Unit 5 Lesson 6

Use the equation $124 \cdot 15 = 1, 860$ and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute $(1.24) \cdot (0.15)$ .