Question

How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

• A. $\frac{6}{20}$
• B. $\frac{5}{25}$
• C. $\frac{5}{16}$
• D. $\frac{6}{18}$

Answer 1

The correct option is C $\frac{5}{16}$

To convert 0.3125 into fraction, let us multiply it with $\frac{10000}{10000}$ to shift the decimal point 4 places right.

$0.3125=\frac{3125}{10000}=\frac{625}{2000}\left[\text{Dividing numerator and denominator}\text{by 5}\right]=\frac{125}{400}\left[\text{Dividing numerator and denominator}\text{by 5}\right]=\frac{25}{80}\left[\text{Dividing numerator and denominator}\text{by 5}\right]=\frac{5}{16}$

$\therefore 0.3125=\frac{5}{16}$