Mastering Mixed Numbers: Subtracting Fractions Review

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A comprehensive worksheet focusing on subtracting fractions with unlike denominators involving mixed numbers, designed to reinforce procedural skills, reasoning, and real-world applications for Grade 7 students.

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Full preview • 11 questions

Mastering Mixed Numbers: Subtracting Fractions Review

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Fluency & Practice

Solve the following problems involving subtraction of mixed numbers. Show your working in the provided grids.
1.
Subtract: 3 1/4 - 1 2/3
[2 marks]
2.
Calculate: 5 3/8 - 2 5/8
[2 marks]
3.
Find the difference: 4 2/5 - 2 1/10
[2 marks]
4.
Subtract: 7 3/4 - 3 2/3
[2 marks]
B

Problem Solving & Reasoning

Solve these multi-step problems involving mixed numbers. Explain your reasoning in the space provided.
1.
A recipe calls for 2 1/2 cups of sugar. If you use 1 3/4 cups initially and then add another 3/4 cup, how much sugar do you have in total? How much more do you need to reach 2 1/2 cups?
[4 marks]
2.
A swimmer completed 4 2/3 laps in the morning and 3 5/8 laps in the afternoon. How many laps did she swim in total? Show your work.
[3 marks]
C

Real-world Applications

Answer these word problems based on realistic situations involving mixed numbers.
1.
A carpenter needs 5 1/2 meters of wood for a project. He has already used 2 2/3 meters. How much more wood does he need?
[2 marks]
2.
A runner ran 3 3/4 miles on Monday and 2 5/8 miles on Tuesday. What is the total distance run? Show your calculations.
[2 marks]
D

Challenge & Extension

Tackle these harder problems involving mixed numbers. Use your reasoning skills.
1.
Subtract: 9 2/3 - 4 5/6. Show your work and simplify your answer.
[3 marks]
2.
Create and subtract: Construct a mixed number 7 3/4 and subtract 2 1/2. What is the result?
[3 marks]
E

Error Analysis

Review the following common mistake and identify the error. Correct the mistake and write the correct answer.
1.
Student's work: 3 1/2 - 2 3/4 = 0 3/4. Identify the mistake and provide the correct answer.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet