anonymous 5 years ago 4+2/x / x/3+1/6 can someone help me solve this please

1. amistre64

$\frac{\frac{4+2}{x}}{\frac{x}{3}+\frac{1}{6}}$this thing?

2. anonymous

is there and "=" sign or is this a compound fraction?

3. amistre64

solve might mean simplify ;) just my assumption tho

4. anonymous

$4 + 2/x \div x/3 + 1/6$

5. anonymous

in that case multiply top and bottom by 6x to clear fractions. or if you want you can do the subtraction in the denominator, and then divide by multiplying by the reciprocal of the denominator (after you subtract).

6. amistre64

multiply everything by 6x could work

7. anonymous

ooooh $4+\frac{2}{x} \div \frac{x}{3} + \frac{1}{6}$ ?

8. anonymous

yes that

9. mathmagician

12/x

10. anonymous

11. anonymous

$4+\frac{2}{x} \times \frac{3}{x} + \frac{1}{6}=4+ \frac{1}{6}+\frac{6}{x^2}=\frac{25}{6}+\frac{6}{x^2}$

12. amistre64

24x+12 12(2x+1) ------- = -------- = 4 if i did it right :) 6x +3 3(2x+1)

13. mathmagician

$4+2/x=(4x+2)/x and x/3+1/6=(2x+1)/6. Then 4x+2/6 multiplied by 6/(2x+1) is equal \to 12/x$

14. anonymous

sorry i did not realize it was $\frac{\frac{x+2}{x}}{\frac{x}{3}+\frac{1}{6}}$

15. amistre64

but i see an error in mine :) 6x(x/3) = 2x^2

16. amistre64

24x +12 -------- perhaps? 2x^2 +x

17. anonymous

it it perhaps $\frac{4+\frac{2}{x}}{\frac{x}{3}+\frac{1}{6}}$?

18. amistre64

$\frac{4x+2}{x}*\frac{6}{2x+1}$

19. amistre64

12/x