Question

二分之一加上六分之五加上十二分之十一加上二十分之十九等于多少?

Answer 1

1/2+5/6+11/12+19/20

=(1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)

=4-(1/2+1/6+1/12+1/20)

=4-[1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)]

=4-(1-1/5)

=4-4/5

=16/5