Question

Convert $0.15$ to a fraction.

• A. $\frac{3}{20}$
• B. $\frac{3}{50}$
• C. $\frac{5}{12}$
• D. $\frac{3}{10}$

Answer 1

The correct option is A $\frac{3}{20}$

Step 1: Rewrite the decimal as a fraction with a denominator of 1:
$\frac{0.15}{1}$

Step 2: The unit digit 5 is in hundredths place (0.15) so we place 15 over 100 to create a equivalent fraction $\frac{15}{100}.$

$\therefore \frac{0.15}{1}=\frac{15}{100}$

Step 3: Simplify the fraction.
$\frac{15}{100}=\frac{5\times 3}{5\times 20}$
Cancel out the common factors, we get
$=\frac{3}{20}$

$\therefore 0.15=\frac{3}{20}$