0.120 as a Fraction in Simplest Form
When we convert a decimal to a fraction, we need to find the equivalent fraction that has the same value as the decimal. In this case, we want to convert 0.120 to a fraction in its simplest form.
Converting 0.120 to a Fraction
To convert 0.120 to a fraction, we can follow these steps:
- Divide the decimal by the divisor (in this case, 1000):
0.120 ÷ 1000 = 120/1000
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD):
GCD of 120 and 1000 is 20
120 ÷ 20 = 6
1000 ÷ 20 = 50
So, the simplified fraction is:
6/50
Simplifying Further
We can simplify the fraction 6/50 further by dividing both the numerator and the denominator by their GCD:
GCD of 6 and 50 is 2
6 ÷ 2 = 3
50 ÷ 2 = 25
So, the final simplest form of 0.120 as a fraction is:
**3/25**
Therefore, 0.120 as a fraction in simplest form is 3/25.
