Simplify 1/x-10 divided by 9x/x^2-9x-10

In fractional form, I think this is written as



When dividing, the first term is the dividend, the second term is the divisor and the answer is the quotient. When you divide fractions, you multiply the dividend with the reciprocal of the divisor. In this case



The answer is 



Furthermore, we can simplify the terms through factoring, The numerator could be factored into (x+1)(x-10). The denominator could be factored to 9x(x-10). Since the term (x-10) is common, you can cancel them to get to the final answer which is

(x+1)/9x