## burhan101 3 years ago simplify this rational

1. miteshchvm

shoot!

2. burhan101

$\frac{ \frac{ 1 }{ x+2 } - \frac{ 1 }{ 2 } }{ x }$

3. sritama

|dw:1349062778744:dw|

4. burhan101

@sritama how'd you get that ?

5. sritama

|dw:1349062838039:dw|

6. sritama

i just added the fractions in numerator.

7. miteshchvm

on taking the LCM $\frac{ \frac{ 2 - (x +2 )}{ 2(x+2) } }{ x }$ $\frac{ \frac{ 2 - x -2 }{ 2(x+2) } }{ x }$ $\frac{ \frac{ - x }{ 2(x+2) } }{ x }$$\frac{ -x }{ 2(x-2) } \div x$ $[\frac{ -x }{ 2(x-2) } \times \frac{ 1 }{ x }]$ $\frac{ -1 }{ 2(x-2) }$ is the answer, you can simplify further ;)

8. burhan101

|dw:1349063069596:dw|

9. burhan101

what do you do from here, sorry i'd like to go step by step, i get confused easily :\$

10. miteshchvm

i took the lcm of the numerator, you get it?

11. burhan101

2(x+2)

12. miteshchvm

ya right, may i go to the next step?

13. burhan101

mhm

14. miteshchvm

on solving i got numerator = -x/2(x-2) you get it?

15. burhan101

yes

16. miteshchvm

after that you can rite this equation similarly as \frac{ -x }{ 2(x-2) } \div x

17. miteshchvm

$\frac{ -x }{ 2(x-2) } \div x$you get it?

18. miteshchvm

if i write $\frac{ 5 }{ 6 } = 5 \div 6 = 5 \times \frac{ 1 }{ 6 }$

19. miteshchvm

is it correct?

20. burhan101

yeah

21. miteshchvm

i just wrote it in other way and then -x/x = -1 you get the answer :)

22. burhan101

ohh kkk thankyou !