Count unit-fraction portions in whole amounts
The idea
Ask how many portions of size 1/b fit in the amount, rather than sharing into b groups.
Step by step
- Ask how many portions of size 1/b fit in the amount, rather than sharing into b groups.
- One whole contains b portions of size 1/b, so a wholes contain a × b portions.
- Check that portion count × portion size equals the original amount.
Example
There are 2 liters of juice. Each cup holds liter. How many full cups can be filled?
Answer
6
Each liter fills 3 cups of size liter. So 2 × 3 = 6 cups. Check: 6 × = 2.
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Draw two whole strips divided into quarters. Count the quarter-sized portions and explain 2 ÷ 1/4.
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