Simplify the complex fraction. (1 point) Responses Image with alt text: fifteen x sqaured over seven y Image with alt text: seven x open parentheses y plus four closed parentheses over three x y Image with alt text: three x squared open parentheses y plus four clsed parentheses over seven y
To simplify the complex fraction, we need to find a common denominator in both the numerator and denominator.
The given expression is:
(15x^2)/(7y) / (7xy + 4)/(3xy)
First, we can simplify the numerator (15x^2)/(7y).
Next, we can simplify the denominator (7xy + 4)/(3xy).
After simplifying both numerator and denominator, the complex fraction becomes:
(15x^2)/(7y) * (3xy)/(7xy + 4)
This expression can be further simplified by canceling out common factors:
(15x)/(7) * (3)/(7xy + 4)
So, the simplified complex fraction is:
(45x)/(7(7xy + 4))