Number Theory

First, let's turn the decimal into a fraction, unsimplified. We do the process

$\frac{0.11012}{1}\times \frac{100000}{100000}= \frac{11012}{100000}$

Now, we must find common factors. 

The GCD of the two numbers are 4, so dividing by 4, we get

$\frac{11012 \div 4}{100000 \div 4}= \frac{2753}{25000}$

From here, we can no longer simplify, so

The answer is $\frac{2753}{25000}$

Thanks! :)