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Fractions practice

Subtract mixed numbers

Subtract whole and fractional parts, with focused practice that can include exchanging a whole when needed.

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Rename the fractional parts with a common denominator. If the first fractional part is too small, exchange one whole for a full set of those parts. Subtract and simplify, recording the exchange clearly.

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Learning objective

What this activity builds

Determine whether the fractional subtraction needs regrouping and preserve the value of the starting mixed number.

Worked example

Find 5 1/4 - 2 2/3.

2 7/12.

First use twelfths: 5 3/12 - 2 8/12. Rename 5 3/12 as 4 15/12, then subtract to obtain 2 7/12. The renaming preserves the original value.

Teaching notes

Make the practice count

  • Compare the fractional parts after finding a common denominator, not just their original numerators.
  • Begin with no-regrouping practice, then choose some or most regrouping when the exchange has meaning.
  • Verify a subtraction by adding its result to the second mixed number.

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Math SheetNameScoreTeacherDate/ 10Subtracting Mixed NumbersSubtract mixed numbers with the selected amount of regrouping practice.1.6105-1312.254-1533.349-31074.8106-4525.458-1476.357-1367.9107-1258.342-51019.453-410110.2511-147math-sheet.comPage 1 / 1

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