2⼀15+2⼀35+2⼀63+2⼀99的简便计算

2024-12-22 01:59:55
推荐回答(3个)
回答1:

2/15+2/35+2/63+2/99
= 2/(3×5) + 2/(5×7) + 2/(7×9) + 2/(9×11)
= (1/3 - 1/5) + (1/5 - 1/7) + (1/7 - 1/9) + (1/9 - 1/11)
= 1/3 - 1/11
= (11-3)/33
= 8/33

回答2:

2/15+2/35+2/63+2/99
=2/3-2/5+2/5-2/7+2/7-2/9+2/9-2/11
=2/3-2/11
=16/33

回答3: