Final answer:
To add and reduce the fractions (6/w) and (15/7w), find a common denominator, combine the numerators, and simplify by canceling common factors. The final result is 57/7w.
Step-by-step explanation:
To add and reduce the fractions (6/w) and (15/7w), we first need to find a common denominator. The denominators for these fractions are w and 7w, respectively. To get a common denominator, we multiply the first fraction by 7w/w and the second fraction by w/7w. This gives us (42w/7w^2) + (15w/7w^2).
Next, we can combine the numerators: 42w + 15w = 57w. So the expression simplifies to (57w/7w^2).
Finally, we can look for common factors that can be reduced. Both the numerator and the denominator have a factor of w, so we can cancel it out. The final simplified form is 57/7w.