If we use the place value chart, we can see that the decimal 0.2 is two tenths so we can write 0.2 as the fraction [tex]\frac{2}{10}[/tex]. The fraction [tex]\frac{2}{10}[/tex] is not in lowest terms so we have to divide both the numerator and the denominator by 2.
2 ÷ 2 = 1
10 ÷ 2 = 5
Therefore, the decimal 0.2 can be written as the fraction [tex]\frac{1}{5}[/tex], which is in lowest terms.
Image provided.