Question

Cum se calculeaza 1/48+2/48+3/48+...+47/48?

Answer 1

(1+2+3+....+47)/48.
1+2+3+...+47=(47x48)/2
(47x48x1/2)/48=47/2

Answer 2

$\frac{1}{48} + \frac{2}{48} + \dots + \frac{47}{48} = \frac{1+2+\dots+47}{48} = \frac{\frac{47\cdot48}{2}}{48} = \frac{47\cdot48}{2\cdot48} = \frac{47}{2}$