Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.7 Junior Find the answer

The symbol $\diamond$ is defined so that $a \diamond b=\frac{a+b}{a \times b}$ . What is the value of $3 \diamond 6$ ?

Your answer

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

Solution

Using the definition of the symbol, $3 \diamond 6=\frac{3+6}{3 \times 6}=\frac{9}{18}=\frac{1}{2}$ .

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