Question

Number 0.232323 can be written in rational form as:
1. \(\frac{23}{999}\)
2. \(\frac{23}{99}\)
3. \(\frac{23}{990}\)
4. \(\frac{23}{9}\)

Answer 1

Correct Answer - Option 2 : \(\frac{23}{99}\)

Given:

0.232323 

Calculation:

Let y = 0.232323            (1)

By multiplying y by 100 

100y = 23.232323           (2) 

(2) - (1) 

⇒ 100y - y = 23.232323 - 0.232323

⇒ 99y = 23

⇒ y = 23/99

∴ 0.232323 = 23/99