# Fractions: Adding Mixed Numbers (same denominator)

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

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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

##### Worksheet Generator

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

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