Question 388971
(u-v)/(8v)+(6u-3v)/(8v)

Factor out the GCF of 3 from each term in the polynomial.
(u-v)/(8v)+(3(2u)+3(-v))/(8v)

Factor out the GCF of 3 from 6u-3v.
(u-v)/(8v)+(3(2u-v))/(8v)

The numerators of expressions that have equal denominators can be combined.  In this case, ((u-v))/(8v) and (3(2u-v))/(8v) have the same denominator of 8v, so the numerators can be combined.
((u-v)+3(2u-v))/(8v)

Simplify the numerator of the expression.
(u-v+6u-3v)/(8v)

Combine all similar terms in the polynomial u-v+6u-3v.
(7u-4v)/(8v)