1/3+1/( )+1/( )+1/( )+1/( )+1/( )+1/( )+1/24=1 在括号内填上从4到23的不同整数,使_数学解答

1/3+1/( )+1/( )+1/( )+1/( )+1/( )+1/( )+1/24=1 在括号内填上从4到23的不同整数,使得等式成立
要有如何理解
有什么思路

人气：159 ℃　时间：2020-03-26 21:54:04

解答

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