Question

(2)/(y+2) + (3)/(y) = (-y)/ (y+2)

Answer 1

so, what do we need to add fractions?

Answer 2

it says to solve the equation

Answer 3

right, and in order to do so, you need to add those fractions together

Answer 4

So, what do you need to add fractions?

Answer 5

find y?

Answer 6

ah, no, like if you had \[\frac{1}{3}+\frac{1}{2}\] what would you need to do first?

Answer 7

find the bottom which is 6

Answer 8

1/3 +1/2= 5/6

Answer 9

right, so you found the least common denominator. We need to do that here too

Answer 10

if we find that, then we can multiply both sides of our equation by it and have no fractions to deal with

Answer 11

ok

Answer 12

So, we need the least common multiple of \(y,~(y+2), ~and~(y+2)\) Can you tell me what that is?

Answer 13

y^2+4y+4

Answer 14

So that is \((y+2)^2\), does y divide every term there?

Answer 15

yes?

Answer 16

Does 4 divide evenly by y?

Answer 17

yeah?

Answer 18

No, it does not. 4y divides by y, we get 4. But 4/y can't be divided evenly

Answer 19

So we need something that can be divided by both y and (y+2)

Answer 20

give it another go

Answer 21

oh ok i see

Answer 22

Think about the numeric example, how did you get 6?

Answer 23

multiply

Answer 24

**Hint** **Hint***

Answer 25

So, what is the least common multiple we need here?