AMC10 2013 B

AMC10 2013 B · Q1

AMC10 2013 B · Q1. It mainly tests Fractions.

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

(A) $-\frac{1}{12}$ $-\frac{1}{12}$

(B) $\frac{5}{36}$ $\frac{5}{36}$

(D) $\frac{49}{20}$ $\frac{49}{20}$

(E) $\frac{43}{12}$ $\frac{43}{12}$

Answer

Correct choice: (C)

正确答案：（C）

Solution

Answer (C): Simplifying gives \[ \frac{2+4+6}{1+3+5}-\frac{1+3+5}{2+4+6}=\frac{12}{9}-\frac{9}{12}=\frac{4}{3}-\frac{3}{4}=\frac{16-9}{12}=\frac{7}{12}. \]

答案（C）：化简得到 \[ \frac{2+4+6}{1+3+5}-\frac{1+3+5}{2+4+6}=\frac{12}{9}-\frac{9}{12}=\frac{4}{3}-\frac{3}{4}=\frac{16-9}{12}=\frac{7}{12}. \]

Topics

AR.001 Fractions