Simplifying: Challenge & Extension
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on the skill of simplifying fractions after multiplying. Designed to deepen understanding through procedural practice and problem-solving.
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Simplifying: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Calculate and simplify the following fractions. Show all working in the grid spaces.
1.
Multiply: (2/3) × (9/4) and simplify your answer.
[2 marks]2.
Calculate: (5/8) × (16/10) and simplify.
[2 marks]3.
Simplify the product: (7/9) × (3/14).
[2 marks]B
Problem Solving & Reasoning
Work through these multi-step problems, showing detailed reasoning.
1.
A recipe calls for 3/4 cup of sugar. If you multiply the amount by 2/3 to make half the recipe, what is the simplified amount of sugar needed?
[3 marks]2.
A map scale is 1/8 inch representing 1 mile. If a route is 3/4 inch long on the map, what is the actual distance in miles? Simplify your answer.
[3 marks]C
Real-world Applications
Solve these problems based on real-life context, demonstrating understanding of simplifying fractions.
1.
A gardener has 5/6 of a gallon of fertilizer. If she uses 2/3 of it for a garden bed, how much fertilizer is used? Simplify your answer.
[2 marks]D
Challenge & Extension
Attempt these advanced problems that require deeper understanding and challenging simplifications.
1.
Multiply: (18/24) × (50/75) and simplify completely.
[3 marks]2.
Construct a fraction multiplication problem that results in the simplified answer 1/8. Provide the fractions used and show the simplification process.
[4 marks]E
Mixed Review
Solve these questions to reinforce your understanding of simplifying fractions after multiplication.
1.
Simplify: (20/25) × (15/18).
[2 marks]2.
Multiply and simplify: (3/5) × (10/12).
[2 marks]F
Error Analysis
Below are common mistakes in simplifying fractions after multiplication. Identify what went wrong and correct the mistake.
1.
A student multiplies (2/3) × (3/4) to get 6/12, then simplifies to 1/2. Is this correct? If not, what is the mistake and what is the correct simplified answer?
[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