Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.6 Junior Find the answer

The operation $\otimes$ is defined by $a \otimes b = \frac{a}{b} + \frac{b}{a}$ . What is the value of $4 \otimes 8$ ?

Your answer

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

Solution

From the given definition, $4 \otimes 8 = \frac{4}{8} + \frac{8}{4} = \frac{1}{2} + 2 = \frac{5}{2}$ .

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