Lesson 9: Practice Problems

Problem 1

One inch is around $2 \frac{11}{20}$ centimeters.

How many centimeters long is 3 inches? Show your reasoning.
What fraction of an inch is 1 centimeter? Show your reasoning.
What question can be answered by finding $10 \div 2 \frac{11}{20}$ ?

Problem 2

A zookeeper is $6 \frac{1}{4}$ feet tall. A young giraffe in his care is $9 \frac{3}{8}$ feet tall.

How many times as tall as the zookeeper is the giraffe?
What fraction of the giraffe’s height is the zookeeper’s height?

Problem 3

A rectangular bathroom floor is covered with square tiles that are $1 \frac{1}{2}$ feet by $1 \frac{1}{2}$ feet. The length of the bathroom floor is $10 \frac{1}{2}$ feet and the width is $6 \frac{1}{2}$ feet.

How many tiles does it take to cover the length of the floor?
How many tiles does it take to cover the width of the floor?

Problem 4

The Food and Drug Administration (FDA) recommends a certain amount of nutrient intake per day called the “daily value.” Food labels usually show percentages of the daily values for several different nutrients—calcium, iron, vitamins, etc.

In $\frac{3}{4}$ cup of oatmeal, there is $\frac{1}{10}$ of the recommended daily value of iron. What fraction of the daily recommended value of iron is in 1 cup of oatmeal?

Write a multiplication equation and a division equation to represent the question, and then answer the question. Show your reasoning.

Problem 5 From Unit 3 Lesson 4

What fraction of $\frac{1}{2}$ is $\frac{1}{3}$ ? Draw a tape diagram to represent and answer the question. Use graph paper if needed.

Problem 6

Noah says, “There are $2 \frac{1}{2}$ groups of $\frac{4}{5}$ in 2.” Do you agree with his statement? Draw a tape diagram to show your reasoning. Use graph paper, if needed.