# Fractions: Subtracting Mixed Numbers (same denominator)

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 2 2⁄3 – 1 1⁄3 = 1 1⁄3 5 3⁄4 – 3 2⁄4 = 2 1⁄4 6 3⁄5 – 1 1⁄5 = 5 2⁄5 3 4⁄7 – 2 1⁄7 = 1 3⁄7 5 1⁄6 – 2 5⁄6 = 2 1⁄3 4 7⁄8 – 2 3⁄8 = 2 1⁄2 4 5⁄9 – 2 1⁄9 = 2 4⁄9 6 4⁄6 – 2 3⁄6 = 2 1⁄6 4 3⁄8 – 2 2⁄8 = 2 1⁄8 5 4⁄15 – 1 14⁄15 = 3 1⁄3 7 2⁄6 – 2 2⁄6 = 5 15 2⁄16 – 3 9⁄16 = 11 9⁄16 4 13⁄16 – 2 7⁄16 = 2 3⁄8 8 1⁄8 – 2 3⁄8 = 5 3⁄4 12 3⁄7 – 2 3⁄7 = 10 7 5⁄12 – 2 6⁄12 = 4 11⁄12 7 1⁄5 – 2 3⁄5 = 4 3⁄5 3 3⁄12 – 2 7⁄12 = 2⁄3

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## Related Resources

The various resources listed below are aligned to the same standard, (4NF03) taken from the CCSM (Common Core Standards For Mathematics) as the Fractions Worksheet shown above.

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

• Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
• Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
• Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
• Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

### Worksheet

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Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers