Section B: Practice Problems Fraction Division

Problem 1 (Lesson 10)

For each pair of expressions, decide which is greater. Explain your choice without calculating the value of the expressions.

$210 \div 3$ $210 \div 5$
$210 \div 3$ $75 \div 3$

Problem 2 (Lesson 11)

A pan of macaroni and cheese is $\frac{1}{3}$ full. Four friends split the remaining macaroni and cheese equally.

Make a drawing that represents the situation.
Write a division expression representing how much of a pan each friend gets.
Explain how the drawing shows the division expression.

Problem 3 (Lesson 12)

Use the diagram to represent the expression $\frac{1}{5} \div 2$ .
Explain how the diagram shows $\frac{1}{5} \div 2$ .
What is the value of $\frac{1}{5} \div 2$ ?

Problem 4 (Lesson 13)

Mai has a strip of paper that is 3 feet long. She cuts it into $\frac{1}{4}$ foot strips.

How many $\frac{1}{4}$ foot strips does Mai make? Explain or show your reasoning.
Write a division equation to represent your answer.

Problem 5 (Lesson 14)

Find the value of each expression.

$5 \div \frac{1}{4}$
$6 \div \frac{1}{4}$
$3 \div \frac{1}{6}$
$3 \div \frac{1}{7}$

Problem 6 (Lesson 15)

Solve each problem. Write an equation showing your answer.

There are 4 liters of water. How many $\frac{1}{2}$ liter bottles of water is that?
4 friends split $\frac{1}{2}$ pound of dried fruit equally. How many pounds of fruit does each friend get?

Problem 7 (Lesson 16)

Find the value of each expression. Explain or show your reasoning.

$3 \div \frac{1}{4}$
$\frac{1}{5} \div 8$

Problem 8 (Exploration)

For each diagram, write a story problem that the tape diagram represents. Then use the diagram to solve the problem.

Problem 9 (Exploration)

It takes Earth 1 year to go around the Sun.

During the time it takes Earth to go around around the Sun, Mercury goes around the Sun about 4 times. How many years does it take Mercury to make 1 full orbit of the Sun? Write an equation showing your answer.
During the time it takes Earth to go around the Sun, Saturn goes $\frac{1}{29}$ of the way around the Sun. How many years does it take Saturn to go around the Sun? Write an equation showing your answer.