## 12 Nov 2013

### Ordered Fractions: Lower Secondary Mathematics Competition Question

Given that

$\frac{1}{n_{1}}>\frac{2}{n_{2}}>\frac{3}{n_{3}}>&space;.....>&space;\frac{59}{n_{59}}>\frac{60}{n_{60}}$

and that n1, n2, n3 ... n59 and n60 are all different whole numbers, find the smallest possible sum n1 + n2 + n3 + ... + n59 + n60.

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