Cooking Class: Recipes and Portions

Divide fractions to scale recipes and plan servings.

Models and Equations

Use models and equations to interpret each quotient. Write numerical answers as whole numbers or simplified fractions.

The entire bar represents 1 cup. The shaded part shows the yogurt available. Each batch of dip needs 3/8 cup of yogurt.

How many batches can be made with the shaded amount? batches

A sauce recipe uses 2/3 cup of tomatoes per batch. There is 1/2 cup available. Let n be the number of batches that can be made, including part of a batch. Which multiplication equation represents this situation?

A. (1/2)n = 2/3B. (2/3)n = 1/2C. (2/3) × (1/2) = nD. (2/3)n = 1

A class has 5/6 cup of broth. Each tasting portion is 1/4 cup. Which calculation correctly finds the number of tasting portions, including a partial portion?

A. 5/6 × 1/4 = 5/24B. 6/5 × 1/4 = 3/10C. 5/6 × 4/1 = 20/6 = 10/3D. 5/6 ÷ 1/4 = 5/24

Each expression represents cups available ÷ cups needed per batch. Select every expression that gives less than one batch.

Recipe Calculations

Find each quotient. Simplify your answer; improper fractions or mixed numbers are acceptable.

4/5 ÷ 2/3 =

7/12 ÷ 7/8 =

1 3/4 ÷ 5/6 =

2 2/5 ÷ 1 1/2 =

Plan the Cooking Class

Decide what each quotient means in the situation. Include partial batches only when the question allows them.

Leila has 2 1/4 cups of oats. One full batch of granola needs 3/4 cup. She scales the recipe to use all the oats.

How many batches does she make? batches

10.

Mateo has 1 1/2 cups of dressing. He pours 2/5 cup into each container. He fills as many containers completely as possible.

How many containers can he fill completely? containers
How much dressing remains? cup

11.

A full batch of soup needs 5/6 cup of lentils. Priya has 5/8 cup of lentils and scales every ingredient by the same amount.

What fraction of a full batch can she make? of a batch

12.

Noah uses 3/8 cup of oil to make 3/4 of a full batch of marinade. The recipe uses the same amount of oil per batch.

How much oil is needed for one full batch? cup

13.

The class has 1 5/6 cups of fruit purée. They reserve 1/3 cup for a sauce, then use the rest for tasting portions of 1/4 cup each. How many tasting portions can they make?

A. 7 1/3 portionsB. 3/8 of a portionC. 5 2/3 portionsD. 6 portions

14.

A full batch of a spice blend needs 3/4 cup of paprika. Aisha has 1/2 cup. Ben says, “1/2 ÷ 3/4 must be greater than 1 because dividing by a fraction makes a number larger.” Is his conclusion correct? Find the quotient and explain what it means for the recipe. Use a multiplication equation to support your reasoning.