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2013 AMC 10B Problem 1

Problem 1 of 25EasierAlgebra

What is the value of the following expression? 2+4+61+3+5−1+3+52+4+6\frac{2+4+6}{1+3+5} - \frac{1+3+5}{2+4+6}

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Solution

2+4+61+3+5−1+3+52+4+6 =129−912=43−34=712 \begin{aligned} &\frac{2+4+6}{1+3+5} - \frac{1+3+5}{2+4+6} \\ \ &= \dfrac {12}9 - \dfrac 9{12} \\ &= \dfrac 43 - \dfrac 34 \\ &= \dfrac 7{12} \end{aligned} Thus, the correct answer is C.

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Concepts: fraction

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