Understand Irrational Numbers Practice Test

Jake converts $$0.\overline{45}$$ to a fraction using algebra. He gets $$x = 0.454545...$$ and $$100x = 45.454545...$$ After subtracting to get $$99x = 45$$, he concludes $$x = \frac{45}{99}$$. What should Jake do next to complete his work properly?

A student claims that $$0.\overline{142857}$$ can be written as a fraction because it has a repeating pattern. To convert this repeating decimal to a fraction, what should be the first step in the algebraic process?