# 1/(1+1/3)…

## Solution

We start by simplifying each complex fraction. Let’s multiply the left fraction by 3/3 and the right fraction by 2/2:

3/3(1/(1 + 1/3) = 3/(3 + 1) = ¾

2/2(1/(1 + ½) = 2/(2 + 1) = 2/3

Finally we have 3/4 – 2/3 = 9/12 – 8/12 = 1/12

**Answer: D**

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Scott Woodbury-Stewart is the founder & CEO of Target Test Prep. A passionate teacher who is deeply invested in the success of his students, Scott began his career teaching physics, chemistry, math, and biology. Since then, he has spent more than a decade helping students gain entry into the world’s top business schools, logging 10,000+ hours of GMAT instruction. Scott also served as lead content developer and curriculum architect for the revolutionary quant course Target Test Prep GMAT Quant.