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APMOPS 2017 Question 13

APMOPS · APMOPS 2017

Question 13

Given that $\frac ab=1-\frac12+\frac13-\frac14+\frac15-\frac16+\frac17-\frac18+\frac19-\frac1{10}$, such that $a,b$ have no common divisor greater than 1, find $a$.