Question

Simply the expression. Write your answer in lowest terms and leave it in factored form.

5y/ y(2y-1) + 2 / 2y-1

Answer 1

What is the common denominator?

Answer 2

\[\frac{5y}{y(2y-1)}+\frac{2}{2y-1}\]

Answer 3

the common denominator is 2y-1

Answer 4

For the first denominator, we need the factors y and 2y-1. For the second denominator we need 2y-1 but we already have it from the first denominator. So the common denominator is y(2y-1).

Answer 5

So write the second fraction with the common denominator and leave the first fraction alone since it already has the correct denominator.

Answer 6

2/ y(2y-1)

Answer 7

\[\frac{2}{2y-1}\times\frac{y}{y}=\frac{2y}{y(2y-1)}\]

Answer 8

okay, where does that leave the 5y?

Answer 9

\[\frac{5y}{y(2y-1)}+\frac{2y}{y(2y-1)}=\frac{7y}{y(2y-1)}\]

Answer 10

okay. thank you so much!

Answer 11

Hope I can have more of your help!

Answer 12

Now reduce the final answer by cancelling out the common factor y

Answer 13

7/ (2y-1)

Answer 14

yep

Answer 15

Finally, Something clicked! Now to find more help for my other problems.

Answer 16

You might surprise yourself and not need help.

Answer 17

Oh no, every time something "clicks" I end up failing my tests.

Answer 18

Practice, practice, practice