1⼀4+1⼀12+1⼀24+1⼀40+1⼀60简便计算,学霸救命

2025-04-10 14:58:46
推荐回答(2个)
回答1:

1/4+1/12+1/24+1/40+1/60+1/84+1/112
=1/4+1/2(1/6+1/12+1/20+1/30+1/42+1/56)
=1/4+1/2(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8)
=1/4+1/2(1/2-1/8)
=1/4+1/4-1/16
=1/2-1/16
=7/16

回答2:

15╱60+5/60+2.5/60+1/60