Question

When the denominator of a proper fraction is 99 , What do you notice about the repeating digits in it decimal form ?

Answer 1

When the denominator of a proper fraction is 99 , the repeating digits in it decimal form are the number present in the numerator

Explanation:

Given the denominator of the fraction is 99.

Assume the numerator as any number and perform the division operation.

For eg:

(i)
`(5)/(99)` = 0.05050505... the repeating digits are 05

(ii)
`(25)/(99)` = 0.25252525... the repeating digits are 25

(iii)
`(95)/(99)` = 0.95959595... the repeating digits are 95

This explains that when a number is divided by 99, the repeating digits are the number present in the numerator in decimal form.