Track / Stage 4 / 28 of 340 #288 of 1964

Problem 288

AMC 12 late, AIME early

Number theory Difficulty 4.5 Find the answer

Name a fraction greater than $\frac{11}{23}$ but less than $\frac{12}{23}$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

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

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.