Difference between revisions of "2003 AMC 10B Problems/Problem 1"

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==Problem==
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#REDIRECT [[2003 AMC 12B Problems/Problem 1]]
 
 
Which of the following is the same as <math>\dfrac{2-4+6-8+10-12+14}{3-6+9-12+15-18+21}</math>?
 
 
 
<math>\textbf{(A)}\ -1 \qquad
 
\textbf{(B)}\ -\frac23 \qquad
 
\textbf{(C)}\ \frac23 \qquad
 
\textbf{(D)}\ 1 \qquad
 
\textbf{(E)}\ \frac{14}{3}</math>
 
 
 
==Solution==
 
 
 
{{solution}}
 
We can rewrite the given fraction as:
 
 
 
\[\frac{-3(2)+2(7)}{3(-3)+3(7)}=\frac{2(4)}{3(4)}=\frac{2}{3} \longrightarrow \boxed{\textbf{(C)}}$ 
 
==See Also==
 
 
 
{{AMC10 box|year=2003|ab=B|before=First Question|num-a=2}}
 
[[Category: Introductory Algebra Problems]]
 

Latest revision as of 23:02, 4 January 2014