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.




Share this page to Google Classroom

Related Pages
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4

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

Worksheets for Grade 4

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.



Check out our most popular games!

Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!

Fraction Concoction Game

Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.

Fact Family Game

Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.

Number Bond Garden

Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.

Online Addition Subtraction Game

Penguin Solitaire:
Move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).

Penguin Solitaire

Sawayama Solitaire:
This is similar to the common Klondike Solitaire except for a few changes to make it more strategic.

Online Addition Subtraction Game


Check out more Solitaire games here.



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.