计算1+1⼀3-7⼀12+9⼀20-11⼀30+13⼀42-15⼀56+17⼀72的简便方法算出结果

2024-12-14 20:46:53
推荐回答(2个)
回答1:

1+1/3-7/12+9/20-11/30+13/42-15/56+17/72
=1+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8+1/8+1/9
=1+1/9
=1又1/9

回答2:

1+1/3-7/12+9/20-11/30+13/42-15/56+17/72
=1+1/3-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)
+(1/6+1/7)-(1/7+1/8)+(1/8+1/9)
=1+1/9=10/9