Question

The decimal expansions of $\frac{13}{6250}$ is

• A. 0.00416
• B. 0.00512
• C. 0.00208
• D. 0.0208

Answer 1

The correct option is C

0.00208

$\frac{13}{6250}=\frac{13}{2^1{.5}^5}$

To get the denominator in powers of 10, multiply both numerator and denominator by $2^4$

$\Rightarrow$ $\frac{13}{6250}$ = $\frac{13\times 2^4}{5^5\times 2^5}$

$\frac{13}{6250}$= $13\times \frac{2^4}{{10}^5}=\frac{208}{{10}^5}$= 0.00208