将1/2+1/12+1/30+1/56+1/90写成分母是连续自然数的五个真分数的和.

将1/2+1/12+1/30+1/56+1/90写成分母是连续自然数的五个真分数的和.
将1/2+1/12+1/30+1/56+1/90写成分母是连续自然数的五个真分数的和.

将1/2+1/12+1/30+1/56+1/90写成分母是连续自然数的五个真分数的和.
题：1/2+1/12+1/30+1/56+1/90
1/2+1/12+1/30+1/56+1/90=1/2+(1/3-1/4)+(1/5-1/6)+(1/7-1/8)+(1/9-1/10)
=1/3+(1/2-1/4)+(1/5-1/6)+(1/7-1/8)+(1/9-1/10)
=1/3+1/4+1/5-1/6+1/7-1/8+1/9-1/10 '与被减数相减能够形成真分数的做减法,以此方法往下推
=(1/3-1/6)+(1/4-1/8)+(1/5-1/10)+1/7+1/8
=1/6+1/8+1/10+1/7+1/8
=1/6+1/7+1/8+1/9+1/10