2013 AMC 10B Problems/Problem 1

Problem

What is $\frac{2+4+6}{1+3+5} - \frac{1+3+5}{2+4+6}$ ?

$\textbf{(A)}\ -1 \qquad\textbf{(B)}\ \frac{5}{36} \qquad\textbf{(C)}\ \frac{7}{12} \qquad\textbf{(D)}\ \frac{49}{20} \qquad\textbf{(E)}\ \frac{43}{3}$

Solution

This expression is equivalent to $\frac{12}{9} - \frac{9}{12} = \frac{16}{12} - \frac{9}{12} = \boxed{\textbf{(C) }\frac{7}{12}}$

For the exact same problem but with answer choice D unsimplified, see http://artofproblemsolving.com/wiki/index.php/2011_AMC_10B_Problems/Problem_1

2013 AMC 10B (Problems • Answer Key • Resources)
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2013 AMC 10B Problems/Problem 1

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