To convert the decimal 0.2 into a fraction, we can follow these steps:
- Recognize that 0.2 can be read as “two tenths” because there is one digit after the decimal point.
- This means we can write it as the fraction 2/10.
- Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 2 and 10 is 2.
- Now, divide both the numerator and the denominator by their GCD:
- 2 ÷ 2 = 1
- 10 ÷ 2 = 5
- Thus, when we simplify 2/10, we get 1/5.
Therefore, 0.2 as a fraction in its simplest form is 1/5.