Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.9 Junior Find the answer

If $\frac{1}{6} + \frac{1}{3} = \frac{1}{x}$ , what is the value of $x$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Simplifying, $\frac{1}{6} + \frac{1}{3} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$ . Thus, $\frac{1}{x} = \frac{1}{2}$ and so $x = 2$ .

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