Among all fractions that have a positive integer numerator and denominator and satisfy 9/11 <= x <= 9/10, which fraction has the smallest denominator?
9 /11 ≤ x ≤ 9/10
90 / 110 ≤ x ≤ 99 / 110
Possible fractions
90 /110 , 91/110 , 92 /110 , 94 /110 , 95 / 110 , 96 /110 , 97/110 , 98/110 , 99/ 110
95 / 110 = 19 / 22 has the smallest denominator
How about 5/6 = 0.83333... ?
( 9/11 = 0.81818... , 9/10 = 0.90000... )
Yep....your answer is correct!!!
Thanks !!!
