Difference between revisions of "2012 CEMC Gauss (Grade 8) Problems/Problem 5"
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==Problem== | ==Problem== | ||
− | + | If <math>\frac{8}{12} = \frac{\framebox {}}{3}</math>, then the value represented by <math>\framebox {}</math> is | |
− | <math> \text{ (A) }\ | + | <math> \text{ (A) }\ 24\qquad\text{ (B) }\ 1\qquad\text{ (C) }\ 12\qquad\text{ (D) }\ 2\qquad\text{ (E) }\ 4 </math> |
==Solution== | ==Solution== | ||
− | + | <math>\frac{12}{3} = 4</math>, meaning we can divide the numerator and denominator by <math>4</math> to arrive at our answer. | |
− | + | <math>\frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}</math> | |
− | + | Since the numerator is <math>2</math>, the answer is <math>\boxed {\textbf {(D) }2}</math>. | |
~anabel.disher | ~anabel.disher |
Revision as of 16:33, 20 April 2025
Problem
If , then the value represented by
is
Solution
, meaning we can divide the numerator and denominator by
to arrive at our answer.
Since the numerator is , the answer is
.
~anabel.disher