# Express 0.Bar (23) as a Rational Number in Simplest Form. - Mathematics

Express 0.bar (23) as a rational number in simplest form.

#### Solution

Let x be 0.bar (23)
x = 0 .bar (23) ….(1)
Multiplying both sides by 100, we get
100x = 23.bar (23) ….(2)
Subtracting (1) from (2), we get
100x – x = 23.bar (23) - 0.bar (23)
⇒99x = 23
⇒x = 23/99
Thus, simplest form of 0.bar (23) as a rational number is 23/99.

Concept: Revisiting Rational Numbers and Their Decimal Expansions
Is there an error in this question or solution?