Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.8 Junior Find the answer

If $\frac{1}{9}+\frac{1}{18}=\frac{1}{\square}$ , what is the number that replaces the $\square$ to make the equation true?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

We simplify the left side and express it as a fraction with numerator 1: $\frac{1}{9}+\frac{1}{18}=\frac{2}{18}+\frac{1}{18}=\frac{3}{18}=\frac{1}{6}$ . Therefore, the number that replaces the $\square$ is 6.

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