# Add and Subtract Two Fractions with the Same Units

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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 use visual models to add and subtract two fractions with the same units.

Common Core Standards: 4.NF.3a, 4.NF.3d, 4.NF.1, 4.MD.2

### NYS Common Core Grade 4 Module 5, Lessons 16

Lesson 16 Concept Development

Problem 1: Solve for the difference using unit language and a number line.
Problem 2: Decompose to record a difference greater than 1 as a mixed number.
Problem 3: Solve for the sum using unit language and a number line.
Lesson 16 Problem Set

1. Solve.
a. 3 fifths – 1 fifth = ____
b. 5 fifths – 3 fifths = ____
c. 3 halves – 2 halves = ____
d. 6 fourths – 3 fourths = _____

2. Solve.
a. 5/6 - 3/6
b. 6/8 - 4/8
c. 3/10 - 3/10
d. 5/5 - 4/5
e. 5/4 - 4/4
f. 5/4 - 3/4

3. Solve. Use a number bond to show how to convert the difference to a mixed number. Problem (a) has been completed for you.
a. 12/8 - 3/8 =
b. 12/6 - 5/6 =
c. 9/5 - 3/5 =
d. 14/8 - 3/8 =
e. 8/4 - 2/4 =
f. 15/10 - 3/10 =

4. Solve. Write the sum in unit form.
a. 2 fourths + 1 fourth = ______
b. 4 fifths + 3 fifths = ______
5. Solve.
a. 2/8 + 5/8 =
b. 4/12 + 5/12 =

6. Solve. Use a number bond to decompose the sum. Record your final answer as a mixed number. Problem (a) has been completed for you.
a. 3/5 + 4/5 =
b. 4/4 + 3/4 =
c. 6/9 + 6/9 =
d. 7/10 + 6/10 =
e. 5/6 + 7/6 =
f. 9/8 + 5/8 =

a. 7/4 - 5/4
b. 5/4 + 2/4

Lesson 16 Homework

1. Solve.
a. 3 sixths – 2 sixths = ____
b. 5 tenths – 3 tenths = ____
c. 3 fourths – 2 fourths = ____
d. 5 thirds – 2 thirds = _____

2. Solve.
a. 3/5 - 2/5
b. 7/9 - 3/9
c. 7/12 - 3/12
d. 6/6 - 4/6
e. 5/3 - 2/3
f. 7/4 - 5/4

3. Solve. Use a number bond to show how to convert the difference to a mixed number. Problem (a) has been completed for you.
a. 12/6 - 3/6 =
b. 17/8 - 6/8 =
c. 9/5 - 3/5 =
d. 11/4 - 6/4 =
e. 10/7 - 2/7 =
f. 21/10 - 9/10 =

4. Solve. Write the sum in unit form.
a. 4 fifths + 2 fifths = ______
b. 5 eighths + 2 eighths = ______
5. Solve.
a. 3/11 + 6/11 =
b. 3/10 + 6/10 =

6. Solve. Use a number bond to decompose the sum. Record your final answer as a mixed number. Problem (a) has been completed for you.
a. 3/4 + 3/4 =
b. 8/12 + 6/12 =
c. 5/8 + 7/8 =
d. 8/10 + 5/10 =
e. 3/5 + 6/5 =
f. 4/3 + 2/3 =