Maths Olympiad Prep

Track / Stage 4 / 19 of 340 #279 of 1964

Problem 279

AMC 12 late, AIME early
Number theory Difficulty 4.5 Find the answer

36. Name a fraction greater than 1123\frac{11}{23} but less than 1223\frac{12}{23}.

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

36. The fractions can be represented as 22462446\frac{22}{46} \frac{24}{46}. Then, the fraction 2346=12\frac{23}{46}=\frac{1}{2} satisfies the condition of the problem.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.