0.116 as a Fraction in Lowest Terms
In this article, we will explore how to convert the decimal number 0.116 to a fraction in its lowest terms.
What is a Fraction in Lowest Terms?
A fraction in lowest terms is a fraction where the numerator and denominator are Coprime, meaning they have no common factors other than 1. This is also known as a fraction in its simplest form.
Converting 0.116 to a Fraction
To convert 0.116 to a fraction, we can use the following steps:
- Divide by the Place Value: Divide 0.116 by 1000 (since there are 3 decimal places):
0.116 ÷ 1000 = 116/1000
- Simplify the Fraction: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD):
GCD of 116 and 1000 is 4
116 ÷ 4 = 29 1000 ÷ 4 = 250
Therefore, the simplified fraction is:
29/250
This is the fraction in lowest terms for 0.116.
Verify the Result
To verify our result, we can convert 29/250 back to a decimal:
29 ÷ 250 = 0.116
As expected, we get the original decimal value 0.116.
In conclusion, the decimal number 0.116 can be converted to a fraction in lowest terms as 29/250.
