分母为120最简真分数之和怎么解

如题所述

分母为120最简真分数之和怎么解

解:
关键是找出符合这个条件的最简真分数。
符合的有:
1/120,7/120,11/120,13/120,17/120
19/120,23/120,29/120,31/120,37/120
41/120,43/120,47/120,49/120,53/120
59/120,61/120,67/120,71/120,73/120
77/120,79/120,83/120,89/120,91/120
97/120,101/120,103/120,107/120,109/120
113/120,119/120

那么分母为120最简真分数之和为:
1/120+7/120+11/120+13/120+17/120+
19/120+23/120+29/120+31/120+37/120+
41/120+43/120+47/120+49/120+53/120+
59/120+61/120+67/120+71/120+73/120+
77/120+79/120+83/120+89/120+91/120+
97/120+101/120+103/120+107/120+109/120+
113/120+119/120
=1920/120
=16
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