What Is 0.2 As A Fraction?

 Understand the Decimal

The number 0.20.2 represents two-tenths. The decimal point in 0.20.2 tells us that the value is in the tenths place (one decimal place).

 Convert the Decimal to a Fraction

To convert the decimal 0.20.2 to a fraction, we first express it as a fraction of 10 (since it’s in the tenths place):

0.2=2100.2 = \frac{2}{10}

This is because 0.20.2 means 2 out of 10 parts.

Simplify the Fraction

Now, we simplify the fraction 210\frac{2}{10}. To do that, we need to find the Greatest Common Divisor (GCD) of the numerator (2) and the denominator (10).

• The factors of 2 are: 1, 2.
• The factors of 10 are: 1, 2, 5, 10.

The greatest common divisor of 2 and 10 is 2.

 Divide the Numerator and Denominator by the GCD

Now, we divide both the numerator and the denominator by their GCD, which is 2:

210÷22=15\frac{2}{10} \div \frac{2}{2} = \frac{1}{5}

 Final Fraction

After simplifying, the fraction form of 0.20.2 is:

15\frac{1}{5}

Conclusion

So, 0.20.2 as a fraction is 15\frac{1}{5}.