Converting 0.120 to a Fraction
To convert the decimal number 0.120 to a fraction, we need to perform a simple calculation.
Step 1: Write the Decimal as a Fraction
We can write the decimal 0.120 as a fraction by dividing it by 1000, since there are three decimal places:
0.120 = 120/1000
Step 2: Simplify the Fraction
We can simplify the fraction 120/1000 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 120 and 1000 is 20. Therefore:
120 ÷ 20 = 6 1000 ÷ 20 = 50
So, the simplified fraction is:
0.120 = 6/50
Step 3: Further Simplification
We can further simplify the fraction 6/50 by dividing both the numerator and the denominator by their GCD, which is 2. Therefore:
6 ÷ 2 = 3 50 ÷ 2 = 25
So, the final simplified fraction is:
0.120 = 3/25
There you have it! The decimal 0.120 is equal to the fraction 3/25.
