Regroup a Whole into Fraction Parts

Supplied materials

• Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
• Supplied worked-case record: For 3 1/5−1 4/5, rename the first amount as 2 6/5.
• All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

A mixed number joins wholes and a fraction. To subtract a larger fractional part with the same denominator, rename one whole as a full set of denominator parts. The value does not change. Subtract the wholes and like-sized parts, then simplify the resulting fraction when possible.

Compare the fractional parts. If needed, exchange one whole for denominator-many parts, add those to the starting fraction, and subtract matching parts. Check by adding the removed mixed amount to your result.

One whole equals denominator-many parts. Reduce the whole-number count when exchanging one whole for parts. Draw whole bars subdivided into the stated denominator and mark the exchanged whole.

1. Draw whole bars subdivided into the stated denominator and mark the exchanged whole.
2. Follow the worked example. Point to each number or shape feature and say what it tells you.
3. Compare the fractional parts.
4. Try the question and then the three practice questions. Check your answers and explain any change you make.

Check your reasoning

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Take it further

Find 4 2/6−2 5/6. Expected: 1 3/6=1 1/2.

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