Different Denominators: Error Analysis & Misconceptions
Mathematics
Grade 6
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and identifying misconceptions related to comparing fractions with different denominators, including error analysis and real-world applications.
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Different Denominators: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Review the key concept: To compare fractions with different denominators, find a common denominator or convert to decimals. Remember, fractions are only equal if their numerator and denominator ratios are equivalent.
B
Fluency & Practice
Answer the following procedural questions to strengthen your understanding of comparing fractions with different denominators.
1.
Compare the fractions 3/4 and 5/6 by finding a common denominator. Which is greater?
[2 marks]2.
Convert 2/3 and 5/8 to decimals. Which is larger?
[2 marks]3.
Find a common denominator for 7/10 and 3/5, then compare.
[3 marks]4.
Simplify the comparison: 9/12 and 2/3. Which is larger?
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems and explain your reasoning.
1.
Anna has 3/8 meter of ribbon, and Ben has 5/12 meter of ribbon. Who has more ribbon? Show your work.
[4 marks]2.
A recipe calls for 2/3 cup of sugar, but you only have 3/4 cup. Can you use the 3/4 cup as a substitute? Justify your answer.
[4 marks]3.
Compare 4/9 and 5/8 using cross-multiplication. Which one is larger?
[3 marks]D
Real-world Applications
Apply your understanding to solve these real-world problems involving fractions.
1.
A car uses 3/5 of a tank of fuel on a trip, and another car uses 7/10 of a tank. Which car used more fuel?
[4 marks]2.
A pizza is cut into 8 slices; Emily eats 5/8 of the pizza, while David eats 3/4. Who ate more? Show your comparisons.
[3 marks]E
Challenge & Extension
Attempt these harder problems to extend your understanding.
1.
Compare 11/15 and 7/10 without converting to decimals. Use cross-multiplication.
[3 marks]2.
Create two fractions with different denominators that are equal. Explain your reasoning.
[4 marks]F
Mixed Review & Error Analysis
Identify and correct the errors in these comparisons.
1.
Student A claims 3/5 > 2/3 because 3 > 2. Is this correct? Explain and correct if necessary.
[3 marks]2.
Compare 1/2 and 2/4. Are they equal? Identify the mistake if any.
[2 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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet