Question

(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)用简便方法怎么计算

Answer 1

(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)
=1/2-（1/3-1/3）-（1/4-1/4）-..........-(1/7-1/7)-1/8
=1/2-0-0-..-0-1/8
=1/2-1/8
=3/8