What is the common denominator of y + [(y - 3)/3] in the complex fraction {y + [(y - 3)/3]}/(5/9 + 2/3y)? 
5y + 6, y(y - 3), 3y, 3

Solution:

Given: {y + [(y - 3)/3]}/(5/9 + 2/3y)

Multiply and divide with ‘9y’

9y/9y.{y + [(y - 3)/3]}/(5/9 + 2/3y)

9y.y + 9y.y - 3/3 / 9y(5/9) + 9y(2/3y)

9y.y + 3y(y - 3) / 9y(5/9) + 9y(2/3y)

9y.y + 3y(y - 3) / y.5 + 9y.2/3y

9y² +3y² -9y / 5y +6

12y² - 9y / 5y + 6

The denominator will be 5y + 6

What is the common denominator of y + [(y - 3)/3] in the complex fraction {y + [(y - 3)/3]}/(5/9 + 2/3y)? 

Summary:

The common denominator of y + [(y - 3)/3] in the complex fraction {y + [(y - 3)/3]}/(5/9 + 2/3y) is 5y + 6.