GK 2020 Q1
1. Which of these fractions has the largest value?
- A \(\tfrac{8+5}{3}\)
- B \(\tfrac{8}{3+5}\)
- C \(\tfrac{3+5}{8}\)
- D \(\tfrac{8+3}{5}\)
- E \(\tfrac{3}{8+5}\)
Grey Kangaroo 2020, Question 1. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A \(\tfrac{8+5}{3}\)
The values of the fractions shown are \(\tfrac{13}{3} = 4\tfrac{1}{3}\), \(\tfrac{8}{8} = 1\), \(\tfrac{8}{8} = 1\), \(\tfrac{11}{5} = 2\tfrac{1}{5}\) and \(\tfrac{3}{13}\). Hence the fraction which has the largest value is \(\tfrac{8+5}{3}\).
Solution © UK Mathematics Trust, from the GK 2020 solutions.