find x, give your answer in fractions: x = 5 * (2-x) + 1

Question

anonymous · Answer

anyone who helps me will get a new fan :)

anonymous · Answer

I know the answer is 1.83333333333 but i need it in fractions

anonymous · Answer

$$x=5(2-x)+1\rightarrow x=10-5x+1$$Add 5x to both sides,$$6x=10+1 \rightarrow 6x=11$$Divide both sides by 6,$$x=\frac{11}{6}$$

anonymous · Answer

do i leave it like this, or do i have to make it like 1 5/6
?

anonymous · Answer

Depends...it doesn't really matter unless the question stipulates.  Mathematicians leave fractions in this form - 'improper fraction' - because we'd have to put it into this form anyway to do any further mathematics on it.

If you like, you can reduce it down to $$x=\frac{11}{6}=\frac{6+5}{6}=\frac{6}{6}+\frac{5}{6}=1+\frac{5}{6}=1\frac{5}{6}$$but I wouldn't bother.

anonymous · Answer

ok, thanx, so in an exam i would just leave answers in improper fractions

anonymous · Answer

Just check with your teacher on what they want you to do.  Like I said, UNLESS the question says to do something with it, just leave it - 11/6 and 1+5/6 are equivalent numbers.