Check my answer??
solve for x
6+1/6x=11
help! fractions confuse me

Question

kewlgeek555 · Answer

Did you know that fractions are division signs?  Yeah, they just invented fractions because imagine 1/6.  That is a long decimal!  I am sure decimals might be easier to operate with, though.  Anywho, this is basically asking $$6+(1\div6)x=11$$Now you have to work backwards.  Since the x is to right, lets start in the left.$$11-6=5$$$$(1\div6)x=5$$Now, since you cannot do 11 * 1 and then 11 * 6, just divide 1 and 6.$$0.166666667x = 5$$  All you have to do is $$5\div0.166666667 = x$$You can do it on a calculator.

anonymous · Answer

so x=29.999999994? i don't think i did it right.

doc.brown · Answer

$$6+\frac{1}{6}x=11$$$$6-6+\frac{1}{6}x=11-6$$$$\frac{1}{6}x=5$$$$6\times\frac{1}{6}x=5\times6$$$$\frac{6}{6}x=30$$$$1x=30$$$$x=30$$

anonymous · Answer

oooh i get it now. thank you sooo much!

kewlgeek555 · Answer

@sammysweets teachers I think do decimals rounded to the tenths or hundreth place, but since I used the exact decimal, I got the exact answer.  But it is 30, rounded.

doc.brown · Answer

A fraction tells you how many equal parts you have, and how many of them make up a whole.
$$\frac{1}{2}apple$$means you have one part of an apple, but you require two to make an entire apple.
You can also view it as$$\frac{1}{2}\times apple$$or$$\frac{1\times apple}{2}$$or$$\frac{apple}{2}$$
Cut an apple in two, what do you get?