Question

Help me simplify?

Question: http://www.mathway.com/math_image.aspx?p=SMB02FSMB03SMB02FSMB034SMB10x-3SMB02fSMB03+SMB02FSMB032SMB103SMB02fSMB03SMB10SMB02FSMB035SMB10x-3SMB02fSMB03SMB02fSMB03?p=57?p=82

It was too complicated to write so I had to put it through mathway. :(

Answer 1

you have a choice.
multiply top and bottom by \(3(x-3)\) to clear the fractions
or actually add in the numerator and then invert and multiply
which would you like to do?

Answer 2

Multiply top and bottom, seems more straight forward.

Answer 3

ok we can write it out
\[\frac{\frac{4}{x+3}+\frac{2}{3}}{\frac{5}{x+3}}\]
\[\frac{\frac{4}{x+3}+\frac{2}{3}}{\frac{5}{x+3}}=\times \frac{3(x+3)}{3(x+3)}\]
\[=\frac{4\times3+2(x+3)}{5\times 3}\] then some algebra

Answer 4

i fail its a plus not minus sign :/

Answer 5

K, I see the set up now, thanks for the help. I can take it from here. :)

Answer 6

@alexwee123 It's ok.

Answer 7

\[\frac{\frac{4}{x+3}+\frac{2}{3}}{\frac{5}{x+3}}\times \frac{3(x+3)}{3(x+3)}\]
\[=\frac{4\times3+2(x+3)}{5\times 3}\]
\[=\frac{12+2x+6}{15}=\frac{18+2x}{15}\]