Question

simplify into a single fraction.
(2x/(x+5)) / (6x^2/2x+10)

Answer 1

\[\frac{2x}{x+5}\times \frac{2x+10}{6x^2}\] os a start

Answer 2

then factor to get
\[\frac{2x\times 2(x+5)}{(x+5)6x^2}\]

Answer 3

finally cancel and get
\[\frac{2}{3x}\]