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2002 CEMC Gauss (Grade 8) Problems/Problem 1

Revision as of 17:17, 23 October 2025 by Anabel.disher (talk | contribs) (Created page with "==Problem== The value of <math>\frac{1}{2} + \frac{1}{4}</math> is <math> \text{ (A) }\ 1 \qquad\text{ (B) }\ \frac{1}{8} \qquad\text{ (C) }\ \frac{1}{6} \qquad\text{ (D) }...")
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Problem

The value of $\frac{1}{2} + \frac{1}{4}$ is

$\text{ (A) }\ 1 \qquad\text{ (B) }\ \frac{1}{8} \qquad\text{ (C) }\ \frac{1}{6} \qquad\text{ (D) }\ \frac{2}{6} \qquad\text{ (E) }\ \frac{3}{4}$

Solution

$\frac{1}{2} + \frac{1}{4} = \frac{1 \times 2}{2 \times 2} + \frac{1 \times 1}{4 \times 1} = \frac{2}{4} + \frac{1}{4}$

$=\frac{2 + 1}{4} = \boxed {\textbf {(E) } \frac{3}{4}}$

~anabel.disher

2002 CEMC Gauss (Grade 8) (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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CEMC Gauss (Grade 8)