 # Add a Mixed Number and a Fraction

Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 