23 Repeating as a Fraction
What is 23 Repeating?
23 repeating, also known as 0.232323..., is a non-terminating and non-repeating decimal. It is a decimal representation of a fraction that has an infinite number of digits, yet these digits follow a specific pattern.
Converting 23 Repeating to a Fraction
To convert 23 repeating to a fraction, we can use the following steps:
Let x = 0.232323...
Multiplying both sides by 100, we get:
100x = 23.232323...
Subtracting x from both sides, we get:
99x = 23
Dividing both sides by 99, we get:
x = 23/99
Simplifying the Fraction
The fraction 23/99 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 23 and 99 is 1, so the fraction is already in its simplest form.
Conclusion
Therefore, 23 repeating as a fraction is equal to 23/99. This fraction can be used in mathematical calculations and is equivalent to the decimal representation 0.232323....
