# Add a Mixed Number and a Fraction

Examples, solutions and videos to help Grade 4 students learn how to add a mixed number and a fraction.

Topic F: Addition and Subtraction of Fractions by Decomposition

Common Core Standards: 4.NF.3c, 4.NF.3d, 4.MD.4, 4.MD.2

### NYS Common Core Grade 4, Module 5, Lesson 30

Lesson 30 Concept Development

Problem 1: Use unit form and the number line to add a mixed number and a fraction having sums of fractional units less than or equal to 1.

Problem 2: Complete a unit of one to add a mixed number and a fraction.

Problem 3: Decompose a sum of a mixed number and a fraction with sums of fractional units greater than 1.

Problem 4: Decompose a fractional addend to make one before finding the sum.

Lesson 30 Problem Set 1

1. Solve.

2. Complete the number sentences.

3. Draw a number bond and the arrow way to show how to make one. Solve.

4. Solve

5. To solve 7 9/10 + 5/10 Maria thought, “7 9/10 + 1/10 = 8, and 8 + 4/10 = 8 4/10.” Paul thought, “7 9/10 + 5/10 = 7 14/10 = 7 + 10/10 + 4/10 = 8 4/10." Explain why Maria and Paul are both right.

Lesson 30 Homework

1. Solve.

2. Complete the number sentences.

3. Draw a number bond and the arrow way to show how to make one. Solve.

4. Solve.

5. To solve 4 8/10 + 3/10, Carmen thought, “4 8/10 + 2/10 = 5, and 5 + 1/10 = 5 1/10." Benny thought, “4 8/10 + 3/10 = 4 11/10 = 4 + 10/10 + 1/10 = 5 1/10." Explain why Carmen and Benny are both right.

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