Library / /138 of 175

, 2015

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Each of the fractions $\dfrac{2637}{18459}$ and $\dfrac{5274}{36918}$ uses the digits 1 to 9 exactly once. The first fraction simplifies to $\dfrac{1}{7}$ . What is the simplified form of the second fraction?

(A) $\frac{1}{8}$ (B) $\frac{1}{7}$ (C) $\frac{5}{34}$ (D) $\frac{9}{61}$ (E) $\frac{2}{7}$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.