Complex LCM: Mixed Review
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet reviews the concept of Complex LCM in adding fractions with unlike denominators, including procedural questions, word problems, and challenging extension problems to deepen understanding.
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Full preview • 11 questions
Complex LCM: Mixed Review
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Solve the following questions by calculating the least common multiple (LCM) and adding the fractions. Show all working in the grid areas provided.
1.
Find the LCM of 8, 12, and 20.
[2 marks]2.
Add d/8 + 3/12.
[2 marks]3.
Find the LCM of 3, 5, and 7.
[2 marks]4.
Add 2/15 + 4/25.
[2 marks]B
Problem Solving & Reasoning
Work through these multi-step problems involving Complex LCM. Provide detailed explanations in the answer space.
1.
A recipe calls for up, /3 cups, and /4 cups of ingredients. Find the smallest bowl size that can hold all ingredients without spilling. Explain your reasoning.
[4 marks]2.
If you add /6 and 2/9, what is the sum? Show your working using LCM.
[3 marks]C
Real-world Applications
Solve these word problems related to real-life situations involving adding fractions with unlike denominators.
1.
Jamie cycles 3/8 mile every day, and Lisa cycles 5/12 mile every day. After how many days will they both have cycled the same total distance? Show your calculations.
[4 marks]D
Challenge & Extension
Attempt these more difficult problems involving complex LCM, including multi-step reasoning and error analysis.
1.
Find the sum of /9 + 7/15 + 4/6. Then, identify and correct a common mistake if someone incorrectly used 30 as the LCM.
[4 marks]2.
Construct a diagram on the grid showing three fractions with denominators 4, 6, and 8 that all have the same total length when summed. Explain your construction.
[4 marks]E
Error Analysis
Review the following incorrect solutions to find and correct the mistakes related to Complex LCM. Write the corrected solution.
1.
A student added /9 + 5/12 and obtained /12. Identify the mistake and provide the correct answer.
[3 marks]2.
A student thought the LCM of 7, 9, and 14 was 63. Explain why this is wrong and find the correct LCM.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet