Question

3y-2 2y-1
_____ + ______
4 8

Answer 1

Still need help?

Answer 2

yeah

Answer 3

Ok lets see....

Answer 4

\[\frac{ 3y-2 }{ 4 }-\frac{ 2y-1 }{ 8 }\]
So you just want to combine these, correct?

Answer 5

yup

Answer 6

Step 1. Distribute
= \[\frac{ 3 }{ 4 } y + \frac{ -1 }{ 2 } + \frac{ 1 }{ 4 } y + \frac{ -1 }{ 8 }\]

Answer 7

Step 2. Combine Like Terms:
= \[( \frac{ 3 }{ 4 }y + \frac{ 1 }{ 4 } y) + (\frac{ -1 }{ 2 } + \frac{ -1 }{ 8 })\]

Answer 8

I will let @KendrickLamar2014 finish, then show you a way that may/may not make sense to you

Answer 9

ok @candyme

Answer 10

Which equals: \[y + \frac{ -5 }{ 8 }\]

and thats your answer

Answer 11

@KendrickLamar2014 the answer key shows that it equals
8y-5
_____
8

Answer 12

So your book is doing it the way I did.\[2(\frac{ 3y-2 }{ 4 })+\frac{ 2y-1 }{ 8 }\]
Distribute that 2\[\frac{ 6y-4 }{ 8 } +\frac{ 2y-1 }{ 8 }\]
\[\frac{ 6y+2y-4-1 }{ 8 }\]\[\frac{ 8y-5 }{ 8 }\]

Answer 13

@KendrickLamar2014 took it a step further and simplified the 8y/8 part

Answer 14

I multiplied it by 2 in the beginning so I could place all of it on one fraction. I needed a common denominator

Answer 15

haha sorry about that @frebrezze

Answer 16

Technically when you get into higher maths you will have to do it his way, but unless it says to simplify all the way I usually leave it