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Fractions practice

Fractional inches with borrowing

Add or subtract whole, proper-fraction and mixed-inch quantities, with targeted practice in exchanging a whole inch.

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Worksheet · LetterWorksheet · A4
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Read the operation and the form of each inch quantity. Use common fractional units, exchange a whole inch only when needed for subtraction and simplify the result. Keep all parts of each measurement in the work.

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US Letter

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A4

Student worksheetWorksheet with answers
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Learning objective

What this activity builds

Choose a valid regrouping strategy from the actual operand forms instead of applying the same exchange to every expression.

Worked example

Find 6 inches minus 2 7/16 inches.

3 9/16 inches.

Rename 6 inches as 5 16/16 inches. Subtract the two whole inches and seven sixteenths to obtain 3 9/16 inches. The exchange changes the notation, not the original length.

Teaching notes

Make the practice count

  • Identify whether an operand is whole, proper-fraction or mixed before beginning.
  • Contrast a subtraction that needs an exchange with one that does not.
  • Treat addition and subtraction as separate selected lesson goals; the borrowing title does not mean every generated expression must borrow.

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Configured PDF · Fractional Inches with Borrowing · US Letter

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Math SheetNameScoreTeacherDate/ 12Fractional Inches with BorrowingAdd or subtract selected forms of whole and fractional inches.1.4 in- 1/8 in2.11 in- 9 2/8 in3.5 3/4 in- 4 in4.10 1/16 in- 8 2/16 in5.9 in- 3/4 in6.3 in- 1 4/8 in7.11 2/4 in- 6 in8.3 1/2 in- 2 1/2 in9.4 in- 4/8 in10.6 in- 3 13/16 inmath-sheet.comPage 1 / 2
Math SheetNameScoreTeacherDate/ 12Fractional Inches with BorrowingAdd or subtract selected forms of whole and fractional inches.11.4 11/16 in- 1 in12.6 1/8 in- 1 2/8 inmath-sheet.comPage 2 / 2

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