Question

The decimal form of $\frac{5}{160}$ is

• A. 0.3125
• B. 0.01875
• C. 0.03125
• D. 0.1875

Answer 1

The correct option is C 0.03125

On factorising the denominator,
$\frac{5}{160}$ = $\frac{5}{2^5\times 5}=\frac{1}{2^5}$

To convert a fraction into decimal form, make the denominator in terms of multiples of 10.

$\frac{1}{2^5}=\frac{1}{2^5}\times \frac{5^5}{5^5}=\frac{5^5}{{10}^5}=\frac{3125}{100000}=0.03125$