How do you simplify (3pi)/2 +pi/4?

1 Answer
Jul 10, 2016

We can make use of the property

a/b + c/d = ((a*d)+(b*c))/(b*d)

Therefore, (3pi)/(2) + (pi)/(4) = (12pi + 2pi)/(8) =(14pi)/(8)

Since both 14 and 8 are divisible by 2, we can simplify further and write

(14pi)/(8) = (7pi)/(4)