Question

Write the following decimal as a fraction in its simplest form.

$0.2$

Answer 1

Given $0.2$

Step 1:Write the numerator of the given number leaving out the decimal point and in the denominator, write $1$followed by as many zeros as the number of digits after the decimal point.

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

Step 2:Reduce the fraction to its simplest form.

Since, $HCF(2,10)=2$

Therefore,$\frac{2}{10}=\frac{2÷2}{10÷2}=\frac{1}{5}$

Hence, the simplest form of the decimal $0.2$is $\frac{1}{5}$