The correct answer is:
9 7/20.
Explanation:
Reading this decimal, we would say "nine and thirty-five hundredths." This means we can write it as a fraction in the form
9 35/100.
To simplify the fraction, we look for common factors in the numerator and denominator. The numerator ends in 5 and the denominator ends in 0, so both are divisible by 5:
(35÷5)/(100÷5) = 7/20
From this point, the only numbers that are factors of 7 are 1 and 7; while 1 is a factor of everything, 7 will not go into 20, so this does not simplify further.
Thus we have 9 7/20.
