Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.1 Junior Find the answer

What is the number halfway between $\frac{1}{12}$ and $\frac{1}{10}$ ?

Your answer

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

Solution

The number halfway between two numbers is their average. Therefore, the number halfway between $\frac{1}{10}$ and $\frac{1}{12}$ is $\frac{1}{2}\left(\frac{1}{10}+\frac{1}{12}\right)=\frac{1}{2}\left(\frac{12}{120}+\frac{10}{120}\right)=\frac{1}{2}\left(\frac{22}{120}\right)=\frac{11}{120}$ .

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