Question

将下列各式化成最简分数,

Answer 1

1、原式=3 - 1/[2- 1/(10/11)]

=3- 1/[2- (11/10)]

=3 - 1/(9/10)

=3- 10/9

=17/9

=1又8/9

2、原式=1+ 1/{2+ 1/[3+ 1/(21/5)]}

=1+ 1/{2+ 1/[3+ (5/21)]}

=1+ 1/[2+ 1/(68/21)]

=1+ 1/[2+ (21/68)]

=1+ 1/(157/68)

=1+ 68/157

=1又68/157