Unit 6 Mixed Fractions Study Guide
Due Date __________________________________
Standards Covered on this Study Guide
4.NF.B.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
4.NF.B.3c 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.
4.NF.B.3d 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.
4.MD.B.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems
involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot
find and interpret the difference in length between the longest and shortest specimens in an insect collection.
Student Name: ____________________________________________________________#_________
Parent Signature:____________________________________________________________________
Date:________________________________________________________________________________
Add the fraction units to compose a fraction.
1. 1/5 +1/5 + 1/5 +1/5 = ______________________________________________
2. 1 + 1 + 1 + 1 + 1/7 + 1/7 + 1/7 + 2/7 + 2/7= ______________________________
Add or subtract to find each answer.
3. 1 1/5 + 2 3/5= ____________________________________________________
4. 4 4/8 – 2 5/8= ____________________________________________________
What are two ways to decompose the fraction 3/9?
5. 3/9= ___________________________________________________________
6. 3/9= ___________________________________________________________
7. Which fractions below are solutions to the equation 8/2 + 3/2= ? Choose two answers.
A. 11/4
B. 11/2
C. 5 1/2
D. 5 ¼
8. John correctly adds two fractions. His solution is 5 2/5. Which choices below represent
the problem John could have solved? Choose two answers.
A. 1/5 + 1/5
B. 25/5 + 2/5
C. 3 2/5 + 10/5
D. 4 1/2 + 1 ½
9. Which of the following is equivalent to 5 4/9? Choose 2 answers.
A. 2 + 3 + 2/9 + 2/9
B. 6 + 2/9 + 2/4
C. 49/9
D. 52/9
12. On Monday, Jessica spent 4/13 of her homework time working on her math
assignment. On Tuesday, she spent 8/13 of her homework time working on her reading
assignment. How much more time did she spend on reading than math?
Part A. Draw a model to match the problem above.
Part B. Write an equation to match the problem above.
Part C. Solve the problem correctly.
13. Use the data to answer the following questions.
Part B. Answer the following questions.
What is the difference between the lengths of the longest earthworm and the shortest
earthworm?
How long are Alice’s, Francine’s, and Charlie’s worms altogether?