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Half Way

Stage: 3 Short Challenge Level: Challenge Level:1
$\frac{4}{5} = \frac{12}{15}$ and $-\frac{2}{3} = -\frac{10}{15}$, so the number halfway between these is $\frac{1}{2} (-\frac{10}{15}+ \frac{12}{15})$ which is $\frac{1}{15}$.

This problem is taken from the UKMT Mathematical Challenges.