Dividing Fractions: Models & Reciprocals in Real Life

1. Sarah has 3/4 of a pizza. She wants to share it equally among 3 friends. How much pizza will each friend get? Use a model to show your work.

• 1/3

• 1/2

• 1/4

• 1/8

2. A recipe calls for 2/3 cup of sugar. If you want to make only half of the recipe, how much sugar do you need? Identify the reciprocal of the fraction used.

• 2/3 cup of sugar

• 1/2 cup of sugar

• 1/4 cup of sugar

• 1/3 cup of sugar

3. A garden is divided into 5 equal sections. If 2/5 of the garden is planted with flowers, what fraction of the garden is not planted? Use a model to illustrate your answer.

• 1/5

• 4/5

• 2/3

• 3/5

4. Tom drank 1/2 of a gallon of juice. If he wants to share the remaining juice equally with 3 friends, how much juice will each person get?

• 3/8 gallon

• 1/8 gallon

• 1/4 gallon

• 1/2 gallon

5. A chocolate bar is divided into 8 equal pieces. If you eat 3/8 of the bar, what fraction of the bar is left? Use a model to represent your answer.

• 5/8

• 1/4

• 3/8

• 6/8

6. Lisa has 1/3 of a yard of fabric. She wants to cut it into pieces that are each 1/6 of a yard. How many pieces can she cut? Identify the reciprocal of the fraction used.

• 1

• 4

• 3

• 2

7. A recipe requires 3/4 cup of flour. If you only want to use 1/2 of that amount, how much flour will you use? Show your work using a model.

• 2/3 cup

• 3/8 cup

• 1/2 cup

• 1/4 cup

8. A car can travel 2/5 of a mile on 1/10 of a gallon of gas. How many miles can it travel on 1 gallon of gas? Use a model to demonstrate your calculations.

• 8 miles

• 2 miles

• 6 miles

• 4 miles

9. If a cake is cut into 12 equal slices and you eat 1/4 of the cake, how many slices did you eat? Use a model to show your work.

• 2 slices

• 4 slices

• 6 slices

• 3 slices

10. A bottle contains 3/5 of a liter of water. If you pour out 1/3 of the water, how much water is left in the bottle? Identify the reciprocal of the fraction used.

• 1/2

• 3/5

• 4/5

• 2/5