MATH SOLVE

4 months ago

Q:
# [tex] \frac{2}{15y} + \frac{3}{5y {}^{3} }[/tex]

Accepted Solution

A:

Answer: 2y² + 9 --------------- 15y³Step-by-step 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 iny²·2 2y²--------- → ----------y²·15y 15y³ ←This is the correct LCDMultiplying numerator and denominator of the second fraction by 3 results in: 3·3 9------------ → --------- 3·5y³ 15y³ ←This is the correct LCDSo now those two original terms look like: 2y² 9--------- + -------- 15y³ 15y³and this can be written in simpler form as: 2y² + 9 --------------- 15y³