Question

`(2)/(15y) + \frac{3}{5y {}^(3) }`

Answer 1

2y² + 9

---------------

15y³

Explanation:

Start by identifying the LCD, and then change each fraction so that its denominator is the LCD.

Here the LCD is 15y³, which is evenly divisible by 15y and 5y³.

Focus now on the first fraction: 2 / (15y). Multiplying numerator and denominator of this fraction by y² results in

y²·2 2y²

--------- → ----------

y²·15y 15y³ ←This is the correct LCD

Multiplying numerator and denominator of the second fraction by 3 results in:

3·3 9

------------ → ---------

3·5y³ 15y³ ←This is the correct LCD

So now those two original terms look like:

2y² 9

--------- + --------

15y³ 15y³

and this can be written in simpler form as:

2y² + 9

---------------

15y³