Question

Mel can paint a house in m hours and Ava can paint a house in n hours. Together, the time in hours it takes to paint six equally sized houses is given by the complex rational expression:
6 over 1/m + 1/n simplify the complex fraction...

Answer 1

You have the following


\[\large \frac{6}{\frac{1}{m}+\frac{1}{n}}\]


Multiply EVERY term by the inner LCD mn to clear out the inner fractions to get


\[\large \frac{6mn}{n+m}\]

Answer 2

very nice! thank you :)