can i have someone help me understand and show me how to do a problem like this?

1/3+(-1/2)+5/6

Question

can i have someone help me understand and show me how to do a problem like this? 

1/3+(-1/2)+5/6

hero · Answer

Now find the least common multiple between 2,3 and 6

anonymous · Answer

im sorry the 1 is a 2

hero · Answer

Which one is a two?

anonymous · Answer

1/3+(-2/3)+5/6

hero · Answer

$$\frac{1}{3} - \frac{2}{3} + \frac{5}{6}$$

anonymous · Answer

yea

hero · Answer

1. What is the least common multiple between 3 and 6? Do you know it?

anonymous · Answer

6

hero · Answer

Very good

hero · Answer

So now we have to make the denominators of the other two fractions six as well by creating equivalent fractions.

anonymous · Answer

so all the bottom is 6 correct

hero · Answer

And replacing those fractions with the equivalent ones. To do that set up a proportion like these: 

$$\frac{1}{3} = \frac{x}{6}$$$$\frac{2}{3} = \frac{y}{6}$$

Now find x and y

hero · Answer

Yes, eventually all of the bottoms (denominators) of the fractions will be six.

anonymous · Answer

ok

hero · Answer

Can you find x and y for me please?

anonymous · Answer

i have never seen it set up like you just showed me

hero · Answer

What I wrote above are proportions. What grade are you in?

anonymous · Answer

college

hero · Answer

You should know what a proportion is by now and you should know how to solve them.

hero · Answer

For both of them all you do is cross multiply to get: 

6 = 3x and 12 = 3y

anonymous · Answer

should but really never seen it that way

hero · Answer

It's just a way to set up and solve equivalent fractions

anonymous · Answer

i think my teacher showed us another way

hero · Answer

Probably, but it's really not much different from what I am showing.

anonymous · Answer

so it would be 6*1 and 6*2

hero · Answer

Maybe someone else can help you. I don't think you're getting this.

anonymous · Answer

oh well whatever i will figure it out