Question

Write as fraction and simplify: 0.3

• A. $\frac{3}{10}$
• B. $\frac{3}{100}$

Answer 1

The correct option is A $\frac{3}{10}$

Method 1

0.3 is three tenths.

$\therefore 0.3=\frac{3}{10}$

Method 2

Shift the decimal rightwards to reach the far right to get the numerator of the fraction.

And, the denominator is 1 followed by number of zeros by which the decimal point is shifted in the numerator.

$0.3=\frac{Numerator}{Denominator}$

$\Rightarrow 0.3=\frac{3.0}{Denominator}$

Here, the decimal point is shifted only one time.

$\therefore$ The denominator is 1 followed by one zero.

$\Rightarrow 0.3=\frac{3}{10}$

Let's verify this.

The last digit of the decimal number is the place value of tenths.

Also, in the right-hand side, we have three tenths, which is same as the left-hand side.