Question

Write the following rational numbers in $\frac{p}{q}$ form $13.\overline{514}$

• A. $\frac{13501}{199}$
• B. $\frac{13501}{99}$
• C. $\frac{13501}{9999}$
• D. $\frac{13501}{999}$

Answer 1

The correct option is D $\frac{13501}{999}$

Let $q=\mathrm{13.514..}$
$\mathrm{13.514514..}\times 3\times 3\times 111\times +0=13500.99=13501$
$\mathrm{13.514..}=\frac{13501}{999}$