Question

Please help? Simplify
3
----
x+3
---------
1 3
--- + ---
x+3 x

Answer 1

In that last question you posted, I submitted a more simplifed solution

Answer 2

It wouldn't be different for this problem?

Answer 3

This problem requires a bit of work...

Answer 4

\[\frac {3} {x+3} \over \frac {1} {x+3} + \frac {3} {x} \]

Answer 5

\[{ \frac {3} {x+3} \over \frac {1} {x+3} + \frac {3} {x} } = \frac {3} {x+3} \div \frac {1} {x+3} + \frac {3} {x} \]

Answer 6

The common denominator is (x+3)x

Answer 7

So multiply each fraction by whatever is missing:

Answer 8

\[\frac {3} {x+3} \over \frac {1} {x+3} + \frac {3} {x}\]
multiply top and bottom by
\[x(x+3)\]
\[\frac {3} {x+3} \times x(x+3)\over (\frac {1} {x+3} + \frac {3} {x})\times x(x+3)\]
\[=\frac{3x}{x+3(x+3)}\]

Answer 9

for a grand total of
\[\frac{3x}{4x+9}\] unless i screwed up the algebra

Answer 10

I have a question on syntax. In the editor, how do you format the fraction so that it is vertical as opposed to horizontal?

Answer 11

3x/4x+3 or 3x/4x+9?

Answer 12

\[{{ \frac {3} {x+3} \over \frac {1} {x+3} + \frac {3} {x} } = \frac {3} {x+3} \div \frac {1} {x+3} + \frac {3} {x} } = \ \frac {3x} {x^2 + 3x} \div \frac {x} {x^2+3x} + \frac {3x+9} {x^2 +3x} \]

Answer 13

Hero, I think you are missing a couple important parentheses.

Answer 14

Satellite, you have to teach me how you're able to post multiple lines on the same post

Answer 15

i will stick with my answer but check it again

Answer 16

you mean like
\[\frac{a}{b}\]
\[\frac{c}{d}\]

Answer 17

Yeah, that...

Answer 18

i can show you but not here because it will format. i will show you in chAT

Answer 19

Well yes. A complex fraction.

Answer 20

\[{{ \frac {3} {x+3} \over \frac {1} {x+3} + \frac {3} {x} } =\frac {3} {x+3} \div (\frac {1} {x+3} + \frac {3} {x} })\]

Answer 21

i still get
\[\frac{3x}{4x+9}\]

Answer 22

Yeah, satellite has it

Answer 23

ty i was beginning to worry

Answer 24

I keep forgetting to multply top and bottom by the lcd

Answer 25

Yeah I went over it and I think I go with satellite's answer. Thanks guys!

Answer 26

If you finish it supah fart, you will get the same answer

Answer 27

Satellites way is most simplest because he begins by multiplying top and bottom by the lcd

Answer 28

mathsux, I would have gotten there....just would've took a bit longer...I haven't figured out how to post multiple lines yet

Answer 29

I understand. Thank you hero :)