How do you convert the decimal 0.2 into a fraction?

Converting the decimal 0.2 into a fraction is a straightforward process. Here’s how you can do it step by step:

1. Understand the Decimal: First, recognize that the decimal 0.2 can be read as ‘two tenths’.
2. Write it as a Fraction: You can express this understanding as a fraction: 0.2 = 2/10.
3. Simplify the Fraction: The next step is to simplify the fraction 2/10. You can do this by finding the greatest common divisor (GCD) of the numerator (2) and the denominator (10). The GCD of 2 and 10 is 2.
4. Divide Both the Numerator and Denominator by the GCD: Now, divide both numbers by their GCD:
   • Numerator: 2 ÷ 2 = 1
   • Denominator: 10 ÷ 2 = 5
5. Final Result: After simplification, we get: 0.2 = 1/5.

So, in summary, the decimal 0.2 can be converted into the fraction 1/5. This fraction is in its simplest form.