How do you simplify #(3pi)/2 +pi/4#? Algebra Properties of Real Numbers Addition of Rational Numbers 1 Answer Alexander 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)# Answer link Related questions How do you add rational numbers? How do you write fractions with a common denominator? How do you write mixed fractions into improper fractions? How do you write #11 2/3# into an improper fraction? How do you add #4 1/7 + 2/7#? How do you add #3/5+2/8#? How do you change fractions into decimals? How do you find the sum of #2.5+2.57+3.1#? How do you calculate #18/12 - 7/9#? How do you write 5 into an improper fraction? See all questions in Addition of Rational Numbers Impact of this question 4565 views around the world You can reuse this answer Creative Commons License