2011 CEMC Gauss (Grade 8) Problems/Problem 1: Difference between revisions

Latest revision as of 21:34, 18 October 2025

If $\frac{8}{12} = \frac{\framebox {}}{3}$ , then the value represented by $\framebox {}$ is

$\text{ (A) }\ 24\qquad\text{ (B) }\ 1\qquad\text{ (C) }\ 12\qquad\text{ (D) }\ 2\qquad\text{ (E) }\ 4$

$\frac{12}{3} = 4$ , meaning we can divide the numerator and denominator by $4$ to arrive at our answer.

$\frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}$

Since the numerator is $2$ and we have the same denominator, the answer is $\boxed {\textbf {(D) }2}$ .

~anabel.disher

2011 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
CEMC Gauss (Grade 8)

@@ Line 8: / Line 8: @@
 <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>.
+Since the numerator is <math>2</math> and we have the same denominator, the answer is <math>\boxed {\textbf {(D) }2}</math>.
 ~anabel.disher
+{{CEMC box|year=2011|competition=Gauss (Grade 8)|before=First Problem|num-a=2}}