Different Denominators: Challenge & Extension
Mathematics
Grade 6
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on comparing fractions with different denominators, designed for challenge and extension for Grade 6 students.
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Full preview • 13 questions
Different Denominators: Challenge & Extension
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Introduction
Read the key concept below and then attempt the questions that follow.
1.
When comparing fractions with different denominators, one effective method is to cross-multiply to determine which fraction is larger. This involves multiplying the numerator of each fraction by the denominator of the other and comparing the products.
[2 marks]B
Fluency & Practice
Answer the following questions to practice comparing fractions with different denominators.
1.
Compare 3/8 and 2/5. Which fraction is larger?
[2 marks]2.
Compare 7/12 and 5/9. Which is greater?
[2 marks]3.
Determine if 4/9 is greater than or less than 2/3.
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems involving comparing fractions with different denominators.
1.
A recipe requires 3/4 cup of sugar. Another recipe requires 2/3 cup of sugar. Which recipe needs more sugar? Show your working.
[4 marks]2.
A student compares 5/8 and 7/10. They conclude 5/8 is larger. Is this correct? Explain your reasoning.
[4 marks]D
Real-world Applications
Apply your understanding to the following word problems.
1.
A car travels 3/5 of a journey in the morning and 2/3 in the afternoon. Which part of the journey is longer? Show your calculations.
[4 marks]E
Challenge & Extension
Attempt these advanced problems that extend your understanding of comparing fractions with different denominators.
1.
Construct two fractions with different denominators that are equal in value. Explain your reasoning.
[4 marks]2.
Prove that 9/14 is less than 5/7 using cross-multiplication.
[4 marks]F
Mixed Review
Solve a variety of problems to review comparing fractions with different denominators.
1.
Compare 11/16 and 13/20. Which is larger? Show your work.
[2 marks]2.
Is 2/3 equal to 4/6? Show your reasoning.
[2 marks]3.
Compare 5/9 and 7/15 using cross-multiplication.
[3 marks]G
Error Analysis
Identify and correct the mistake in the following comparison.
1.
A student claims 3/7 > 2/5 because 3>2. Is this correct? Explain and correct if needed.
[3 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