请在括号内填上从4到23的不同整数,使下面的等式成立:1⼀3+1⼀( )+1⼀( )+1⼀( )+1⼀( )+1⼀( )+1⼀( )+1⼀24=1

请问解题思路是什么?
2025-06-21 15:26:56
推荐回答(2个)
回答1:

1/3+1/(9 )+1/(18 )+1/(10 )+1/(15 )+1/(6 )+1/(8 )+1/24=1
思路
1/(9 )+1/(18 )=1/6
1/(10 )+1/(15 )=1/6
1/(6 )+1/(8 )+1/24=1/3

回答2:

1/3+1/(6)+1/(8)+1/(9 )+1/(10)+1/(15)+1/(18 )+1/24=1