求1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35的简便算法.

2024-12-20 12:57:31
推荐回答(1个)
回答1:

1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35
=1/3+3/4+2/5+5/7+7/8+(4/20+5/20)+(3/21+7/21)+(3/24+8/24)+(5/35+14/35)
=1/3+3/4+2/5+5/7+7/8+(1/5+1/4)+(1/7+1/3)+(1/8+1/3)+(1/7+2/5)
=1/3*3+(3/4+1/4)+(2/5+1/5+2/5)+(5/7+1/7+1/7)+(7/8+1/8)
=1+1+1+1+1
=5