Number 1
4 marks · HardA student claims that and are not equivalent fractions because the numerators and denominators are different.
Explain, showing all your working, whether the student is correct.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
The student is incorrect; and are equivalent fractions.
Also accept: Simplifying both fractions and demonstrating they represent the same value
Common mistakes: Comparing fractions by their numbers only, not simplifying; Incorrect simplification process
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Attempts to simplify or shows a valid method
A1 · 1 mark · Correctly simplifies to
B1 · 1 mark · Clearly states both fractions are equal or equivalent
B2 · 1 mark · Explanation is clear, logical, and includes reference to simplifying or multiplying
Worked solution
To see whether and are equivalent, we simplify :
Both fractions are the same, so the student's claim is incorrect.