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.

Problem 2 (Lesson 11)

A pan of macaroni and cheese is full. Four friends split the remaining macaroni and cheese equally.

  1. Make a drawing that represents the situation.

  2. Write a division expression representing how much of a pan each friend gets.

  3. Explain how the drawing shows the division expression.

Problem 3 (Lesson 12)

  1. Use the diagram to represent the expression .

    Diagram. 1 part. Total length, 1. 
  2. Explain how the diagram shows  .

  3. What is the value of ?

Problem 4 (Lesson 13)

Mai has a strip of paper that is 3 feet long. She cuts it into foot strips.

  1. How many foot strips does Mai make? Explain or show your reasoning.

  2. Write a division equation to represent your answer.

Problem 5 (Lesson 14)

Find the value of each expression.

Problem 6 (Lesson 15)

Solve each problem. Write an equation showing your answer.

  1. There are 4 liters of water. How many liter bottles of water is that?

  2. 4 friends split 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.

Problem 8 (Exploration)

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

  1. Diagram. 4 equal parts, each labeled question mark. Total length, 1.
  2. Diagram. 3 equal parts. 1 part divided into 4 equal parts, 1 shaded. Total length, 1.

Problem 9 (Exploration)

It takes Earth 1 year to go around the Sun.

  1. 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.

  2. During the time it takes Earth to go around the Sun, Saturn goes of the way around the Sun. How many years does it take Saturn to go around the Sun? Write an equation showing your answer.