Problem: 21−23=\dfrac{2}{1-\dfrac{2}{3}}=1−32​2​=
Answer Choices:
A. −3-3−3 B. −43-\dfrac{4}{3}−34​ C. 23\dfrac{2}{3}32​ D. 222 E. 666
Solution:
21−23=213=2×3=6\dfrac{2}{1-\dfrac{2}{3}}=\dfrac{2}{\dfrac{1}{3}}=2 \times 3=61−32​2​=31​2​=2×3=6.
Answer: 6\boxed{6}6​.
The problems on this page are the property of the MAA's American Mathematics Competitions