分数简便计算 1⼀20+1⼀30+1⼀42+1⼀56+1⼀72

分数简便计算 1/20+1/30+1/42+1/56+1/72
2025-01-07 15:48:18
推荐回答(3个)
回答1:

1/20+1/30+1/42+1/56+1/72
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/4-1/9
=5/36

回答2:

1/4-1/5+1/5-1/6+...1/8-1/9=1/4-1/9=5/36

回答3:

=1/4×5+1/5×6+1/6×7+1/7×8+1/8×9
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/4-1/9
=5/36