Visualizing Mixed Number Division: Remainders in Action

A recipe calls for 3 1/2 cups of flour. If you want to make 4 batches of the recipe, how many cups of flour will you need in total? Show your work using a visual model.

• 10 cups

• 16 cups

• 14 cups

• 12 cups

You have 5 3/4 yards of fabric. You want to cut it into pieces that are each 1 1/2 yards long. How many pieces can you cut, and how much fabric will be left over? Use a visual model to illustrate your answer.

• You can cut 2 pieces of 1 1/2 yards, and there will be 2 yards of fabric left over.

• You can cut 4 pieces of 1 1/2 yards, and there will be 1/2 yard of fabric left over.

• You can cut 5 pieces of 1 1/2 yards, and there will be no fabric left over.

• You can cut 3 pieces of 1 1/2 yards, and there will be 1/4 yard of fabric left over.

A gardener has 2 2/3 bags of soil. If each plant requires 1/4 of a bag of soil, how many plants can the gardener plant? Use a visual model to help explain your reasoning.

• 12

• 8

• 5

• 10

A baker made 6 1/2 dozen cookies. If she wants to package them into boxes that hold 1 3/4 dozen cookies each, how many full boxes can she fill, and how many cookies will be left over? Show your work with a visual model.

• 3 full boxes and 15 cookies left over

• 4 full boxes and 5 cookies left over

• 1 full box and 25 cookies left over

• 2 full boxes and 30 cookies left over

You have 4 1/4 liters of juice. If you pour it into cups that each hold 3/8 liters, how many full cups can you fill, and how much juice will remain? Use a visual model to demonstrate your solution.

• 9 full cups and 1/2 liters remaining

• 12 full cups and no juice remaining

• 11 full cups and 1/8 liters remaining

• 10 full cups and 1/4 liters remaining

A teacher has 7 1/2 meters of ribbon. If she uses 2 1/3 meters for a project, how much ribbon does she have left? Use a visual model to show your calculations.

• 4 1/4 meters

• 5 1/6 meters

• 6 1/3 meters

• 3 1/2 meters

A family has 8 1/4 pounds of apples. If they want to divide the apples equally among 3 friends, how many pounds will each friend receive, and how much will be left over? Illustrate your answer with a visual model.

• Each friend receives 2 pounds, and 2 1/4 pounds are left over.

• Each friend receives 3 pounds, and 1/4 pound is left over.

• Each friend receives 2 1/2 pounds, and 1 pound is left over.

• Each friend receives 2 1/4 pounds, and 1 1/2 pounds are left over.

You have 9 1/2 gallons of paint. If you use 1 3/4 gallons to paint one room, how much paint will you have left? Use a visual model to help explain your answer.

• 5 3/4 gallons

• 7 3/4 gallons

• 6 1/2 gallons

• 8 gallons

A farmer harvested 10 1/2 bushels of corn. If he sells 2 2/5 bushels at the market, how many bushels does he have remaining? Use a visual model to illustrate your solution.

• 9 bushels

• 7 3/5 bushels

• 6 1/4 bushels

• 8 1/10 bushels

A chef has 5 3/4 liters of soup. If he serves 1/2 liter per bowl, how many full bowls can he serve, and how much soup will be left? Show your work using a visual model.

• 9 full bowls and 1 liter left

• 11 full bowls and 1/4 liter left

• 12 full bowls and no soup left

• 10 full bowls and 1/2 liter left