Fraction ÷ Fraction: Mixed Review

Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A comprehensive worksheet focused on dividing fractions using the keep, flip, multiply strategy. Designed for Year 9 students to develop procedural mastery, reasoning, and application skills.

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Fraction ÷ Fraction: Mixed Review

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Fluency & Practice

Calculate the following division of fractions. Show your working in the grid spaces provided.
1.
Divide: 3/4 ÷ 2/5
[2 marks]
2.
Divide: 7/8 ÷ 3/4
[2 marks]
3.
Calculate: 5/6 ÷ 1/2
[2 marks]
4.
Divide: 2/3 ÷ 4/5
[2 marks]
B

Problem Solving & Reasoning

Solve the following multi-step problems involving fraction division. Explain your reasoning in the space provided.
1.
A recipe calls for 3/4 cup of sugar. If you want to make a scaled-down version using 1/2 of the original sugar amount, how much sugar will you use? Express as a fraction.
[3 marks]
2.
A swimmer completes 5/8 of a race, then rests for a while. If the remaining part of the race is 3/8, what fraction of the race was completed before resting? Show your working.
[3 marks]
C

Real-world Applications

Solve the following word problems involving division of fractions.
1.
A builder needs 2/3 of a bag of cement for a small project. If each bag contains 5/8 of a cubic meter of cement, how much cement in cubic meters is needed? Express as a simplified fraction.
[3 marks]
D

Challenge & Extension

Tackle these more challenging problems. Show your detailed working.
1.
Simplify: (7/9 ÷ 2/3) ÷ (4/5 ÷ 1/2). Show your steps.
[4 marks]
2.
If dividing 3/4 by a fraction yields 2/3, what is that fraction? Explain your reasoning.
[3 marks]
E

Error Analysis

Below are common mistakes when dividing fractions. Identify and correct the errors.
1.
A student calculates 2/3 ÷ 4/5 as 2/3 × 4/5 = 8/15. What is wrong with this? Correct the mistake.
[3 marks]

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What is Remix?

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet