Track / Stage 4 / 29 of 340 #289 of 2000

Problem 289

AMC 12 late, AIME early

Geometry Difficulty 4.5 Find the answer

A3. The number line between 0 and 2 is divided into 7 equal parts. Which number does point $A$ represent?

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(A) $\frac{3}{14}$
(B) $\frac{6}{14}$
(C) $\frac{3}{7}$
(D) $\frac{6}{7}$
(E) 1

Your answer

Official solution

A3 On the number line, A represents $\frac{2}{7}$ . Point A is the image of the fraction $3 \cdot \frac{2}{7}=\frac{6}{7}$ .

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