Fraction Classroom · 2.4.0 · Student pages

Plan how many fixed-size servings a supply can make

Treat the serving size as the repeated unit, count how many fit in the supply and keep that count distinct from the amount per serving.

Anonymous group code: __________   Date: __________

Every whole cup contributes four equal servings. The answer counts portions of the fixed quarter-cup unit.Supply portionServing sizeServingsFirst cup1/4 cup4Second cup1/4 cup4Third cup1/4 cup4All 3 cups1/4 cup12
Every whole cup contributes four equal servings. The answer counts portions of the fixed quarter-cup unit.

Build the idea

model. A supply contains 3 cups. Each serving must contain exactly 1/4 cup. How many servings can be made?

  1. Label the supply as 3 cups and the serving size as 1/4 cup per serving. The requested answer counts servings, not cups.
  2. Partition one cup into four equal quarter-cup parts. Repeat that same-sized partition for all three whole cups.
  3. Count twelve parts of the required size. The division 3 ÷ 1/4 asks how many quarter-cup servings fit; it does not ask to share three cups among four recipients.
  4. Check with multiplication: 12 servings × 1/4 cup per serving = 3 cups. That equation confirms both the quantity and the unit interpretation.

Worked example: 12 servings. Each cup contains four quarter-cup units, so three cups contain twelve such units.

Practise and explain

Try p1–p3 with a partner. Use a drawing and label your units. Try e1 independently before comparing responses.

p1. How many 1/3-cup servings can be made from 2 cups? Enter the number of servings.

p2. How many 1/2-cup servings can be made from 5 cups?

p3. How many 1/8-cup servings can be made from 1 cup?

e1. Plan 1/6-cup servings from a supply of 4 cups. Enter the serving count and verify the total amount.

Transfer the idea

transfer. Keep the 3-cup supply but change each serving from 1/4 cup to 1/2 cup. What happens to the serving count, and why?