Interpret a Fraction as Sharing Whole Units
Use the supplied whole units and recipient count.
About 25 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Share five identical whole strips among four people.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A fraction a/b can describe a whole-number division: a wholes shared equally among b recipients. Each share can contain parts of several wholes. The denominator records the equal share count, and the numerator records how many wholes were shared. Multiply a share by the recipient count to check the total.
Use the supplied whole units and recipient count. Divide every whole into that many equal parts and give one part from each whole to each recipient. Record the share as numerator over share count and simplify if appropriate.
The numerator counts supplied wholes and denominator counts equal recipients. A share can exceed one whole when there are more wholes than recipients. Divide each whole bar into the same number of recipient shares.
- Divide each whole bar into the same number of recipient shares.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied whole units and recipient count.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Share five identical whole strips among four people. Each whole is divided into fourths, and each person receives five fourths: 5/4=1 1/4 strips. Four people with five fourths each total five strips, so every original whole is accounted for. The numerator counts supplied wholes and denominator counts equal recipients. A share can exceed one whole when there are more wholes than recipients. Divide each whole bar into the same number of recipient shares.
Check your reasoning
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Helpful tips
- The numerator counts supplied wholes and denominator counts equal recipients.
- A share can exceed one whole when there are more wholes than recipients.
See the answer and explanation
2/5
Divide the number of wholes by the number of equal recipients. The result is 2/5.
Take it further
Share seven wholes among four people. Expected: 7/4=1 3/4 per person.
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More practice: try new cases
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