Proper Fractions: Problem Solving & Reasoning
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focused on subtracting proper fractions with like denominators, including procedural exercises and real-world problems to develop deep understanding and reasoning skills.
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Proper Fractions: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the key concept about proper fractions below.
1.
A proper fraction has a numerator smaller than the denominator. When subtracting proper fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, .
[2 marks]B
Fluency & Practice
Solve the following to practice your procedural skills.
1.
Calculate: .
[2 marks]2.
Subtract: .
[2 marks]3.
Find the difference: .
[2 marks]C
Targeted Practice
Apply your knowledge to more challenging questions.
1.
Calculate: .
[2 marks]2.
Subtract: .
[2 marks]3.
Find the difference: .
[2 marks]4.
Calculate: .
[2 marks]D
Word Problems & Reasoning
Solve these multi-step problems and explain your reasoning.
1.
Sara had of a chocolate bar. She ate of it. How much of the chocolate bar does she have left? Show your working.
[3 marks]2.
A recipe requires cup of sugar. If you use cup less than the recipe calls for, how much sugar do you use? Show your working.
[3 marks]E
Challenge & Extension
Attempt these more difficult problems for extension.
1.
Calculate: .
[3 marks]2.
If you subtract from , what is the result? Express your answer as a proper fraction.
[3 marks]F
Mixed Review & Error Analysis
Review these questions on common errors. Fix the mistakes.
1.
A student calculated . Is this correct? If not, identify and correct the mistake.
[3 marks]2.
Subtract: . Some students get an answer of , but others write . Which is correct? Explain why.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet