Final answer:
To rewrite the rational expression (5/14x+112) as an equivalent rational expression with the given denominator (4y(x+8)), multiply the numerator and denominator of the first expression by 4y.
Step-by-step explanation:
To rewrite the rational expression (5/14x+112) as an equivalent rational expression with the given denominator (4y(x+8)), we need to find a way to make the two denominators the same. In this case, the common denominator would be 14x + 112. To achieve this, we can multiply the numerator and denominator of the first expression by 4y. This gives us:
(5/14x+112) = (5 * 4y)/(14x + 112) * (4y)/(4y) = (20y)/(56xy + 448y)