## anonymous one year ago simplify the complex fraction?

1. anonymous

|dw:1443796362054:dw|

2. AlexandervonHumboldt2

this is quite esay: look: (3-5/x)/(x/5)=(3-5/x)*(5/x)=use distributive property=3*(5/x) - 1=???

3. anonymous

I've literally tried everything and every answer I put comes up wrong.

4. Nnesha

hey amber would be great if you post ur work so we can look over and find out the mistakes instead starting over anywx first deal with the numerator $\huge\rm \frac{\color{Red}{ 3-\frac{ 5 }{ x }} }{ \frac{ x }{ 5 } }$

5. Nnesha

$\huge\rm \color{ReD}{\frac{3}{1}- \frac{5}{x}}$ 3 is same as 3/1 now find the common denominator

6. anonymous

wouldnt the LCD be x?

7. Nnesha

right what would you get at the numerator $\huge\rm \color{ReD}{\frac{???}{x} }$

8. Nnesha

when we find common denominator we should multiply the numerator of first fraction by the denominator of 2nd fraction and multiply the numerator of 2nd fraction by the denominator of first fraction |dw:1443800744203:dw| just like cross multiply

9. anonymous

3x-5?

10. Nnesha

right $\huge\rm \frac{ \frac{ 3x-5 }{ x } }{ \frac{ x }{ 5 }}$ now to change division to multiplication we should multiply the top fraction with the reciprocal  of the bottom fraction

11. Nnesha

|dw:1443801210444:dw| example