0.116 Repeating as a Simplified Fraction
The decimal 0.116 repeating can be written as a simplified fraction by converting it to a fraction and then simplifying it.
Converting the Decimal to a Fraction
To convert the decimal to a fraction, we can multiply it by a power of 10 to remove the decimal places, and then simplify it.
0.116 = 116/1000
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 116 and 1000 is 4.
116 ÷ 4 = 29 1000 ÷ 4 = 250
So, the simplified fraction is:
29/250
Therefore, 0.116 repeating as a simplified fraction is 29/250.
