Number 1
4 marks · HardThe fractions , , and are shown below.
a) Order the fractions from smallest to largest. Give your answers as fractions.
b) Which of these fractions is closest to 1? Show your working.
Order the given fractions from smallest to largest.
Identify and justify which fraction is closest to 1.
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
(a)
(b) is closest to 1 because , which is less than the difference for the other two fractions.
Common mistakes: Ordering by numerator or denominator size instead of value; Not converting to common denominators
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Finds a common denominator or converts/compares fractions correctly
A1 (a) · 1 mark · Correct order:
M2 (b) · 1 mark · Correctly calculates difference from 1 for at least two fractions
A2 (b) · 1 mark · Correctly identifies as closest to 1 with justification
Worked solution
Convert all fractions to a common denominator or decimals for comparison.
Ordered from smallest to largest: . But . So, correct order: .
Difference from 1: ; ; . So is closest to 1.