Originally Posted by

**artem1s** thanks for the replies,

I can grasp the elimination method, thats easy enough, i just don't have a clue how you get from

; . -6631/2094 to - 19/6 sorry, maybe you guys are just bloody good at it and are just seeing it as easy simplification, but i don't know how you get from a to b. Artem1s,

There's really no quick and dirty way to do this unless you have a calculator handy. You could try to factor the numerator and denominator to see if there are any common factors you can divide out, but there's a pretty big prime factor here.

$\displaystyle -\frac{6631}{2094}=-\frac{19 \cdot 349}{6 \cdot 349}=-\frac{19}{6}=-3 \frac{1}{6}$

Or, you could just use long division.

Code:

-3
___________________
- 2 0 9 4 | 6 6 3 1
6 2 8 4
-----------
3 4 9

The above yields a quotient of -3 with a remainder of 349. Thus $\displaystyle -3 +^-\frac{349}{2094}=-3 \frac{1}{6}=-\frac{19}{6}$