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...

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...

jim_thompson5910 · Answer

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 


$$\large \frac{6mn}{n+m}$$

anonymous · Answer

very nice! thank you :)