Calculation: Error Analysis & Misconceptions in Converting Mixed Numbers and Improper Fractions
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on identifying errors and misconceptions in converting mixed numbers and improper fractions, with various practice and reasoning questions for Grade 8 students.
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Calculation: Error Analysis & Misconceptions in Converting Mixed Numbers and Improper Fractions
Subject: MathematicsGrade: Grade 8
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Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Convert the following mixed numbers to improper fractions. Show your working in the grid spaces provided.
1.
Convert 3 1/4 to an improper fraction.
[2 marks]2.
Convert 7 2/5 to an improper fraction.
[2 marks]3.
Convert 5 3/8 to an improper fraction.
[2 marks]B
Problem Solving & Reasoning
Solve the multi-step problems below and explain your reasoning.
1.
A recipe requires 2 3/4 cups of sugar. Convert this to an improper fraction. Then, if you accidentally added 2/4 cups more, what is the total amount of sugar in improper fraction form?
[4 marks]2.
A student incorrectly converts 6 2/3 to an improper fraction as 20/3. Identify the mistake and provide the correct conversion.
[3 marks]C
Real-world Applications
Solve the following word problems involving conversions.
1.
A construction project requires 4 1/2 yards of material. Convert this to an improper fraction and then express it as a decimal.
[4 marks]D
Challenge & Extension
Attempt these more difficult problems involving conversions.
1.
Convert 9 7/8 to an improper fraction, then simplify if possible.
[3 marks]2.
A student converts 2 5/6 to an improper fraction as 17/6, but gets an incorrect answer after simplification. Identify the mistake and correct it.
[3 marks]E
Mixed Review
Solve a variety of calculation problems involving mixed numbers and improper fractions.
1.
Add 3 1/2 and 4 2/3 by first converting to improper fractions. Show your working.
[3 marks]2.
Subtract 5 3/4 from 8 1/2. Convert to improper fractions and show your steps.
[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