Question

Convert $\frac{3}{9}$ to a decimal.

• A. $0.\overline{2}$
• B. $0.\overline{3}$
• C. $0.1\overline{3}$
• D. $0.2\overline{3}$

Answer 1

The correct option is B $0.\overline{3}$

$\frac{3}{9}$ represents $3÷9.$

Step 1: Here, denominator > numerator.

We have to make the dividend digit (3) greater than the numerator digit (9) by placing 0 next to the 3 and to the quotient respectively.

Now we have 30 as a new dividend. (30 > 9).

Step 2: In the quotient part, it is important to insert decimal (.) after 0 and start the division as follows



Step 3: No matter how long we divide, 3 will continue to repeat in the quotient. So, we write a bar in order to show the recurring digits.
$\therefore \frac{3}{9}$ can be written as $0.\overline{3}.$