4.NF.B.3. Understand a fraction $a/b$ with $a > 1$ as a sum of fractions $1/b$.

• Writing a Mixed Number as an Equivalent Fraction

4.NF.B.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

• Comparing Sums of Unit Fractions

4.NF.B.3.b. 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: $\frac38 = \frac18 + \frac18 + \frac18$; $\frac38 = \frac18 + \frac28$; $2 \frac18 = 1 + 1 + \frac18 = \frac88 + \frac88 + \frac18.$

• Making 22 Seventeenths in Different Ways

4.NF.B.3.c. 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.

• Cynthia's Perfect Punch
• Peaches
• Plastic Building Blocks
• Writing a Mixed Number as an Equivalent Fraction

4.NF.B.3.d. 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.

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