What is 2+4+61+3+5 - 1+3+52+4+6 ?

2+4+61+3+5 - 1+3+52+4+6 = 129 - 912 = 43 - 34 = 712 Note: This exact problem was reused in 2013 AMC 10B:

imc

prealgebra junior

Problem

What is

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

(A)

- 1

(B)

\frac{5}{36}

(C)

\frac{7}{12}

(D)

\frac{147}{60}

Solution

\frac{2 + 4 + 6}{1 + 3 + 5} - \frac{1 + 3 + 5}{2 + 4 + 6} = \frac{12}{9} - \frac{9}{12} = \frac{4}{3} - \frac{3}{4} = \frac{7}{12}

Note: This exact problem was reused in 2013 AMC 10B:

Final answer