How do you simplify #1 1/4+(3 2/3+5 3/4)^2#? Algebra Properties of Real Numbers Addition of Rational Numbers 1 Answer EZ as pi Nov 10, 2016 #89 133/144# Explanation: #1 1/4+(3 2/3+5 3/4)^2" "larr# there are 2 terms. =#1 1/4 + (8 (8+9)/12)^2" "larr# calculate the bracket first =#1 1/4 + (8 17/12)^2# =#1 1/4 + (113/12)^2" "larr# improper fraction to be able to square =#1 1/4 + 12769/144# =#1 1/4 + 88 97/144# =#89 (36+97)/144# =#89 133/144# 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 1538 views around the world You can reuse this answer Creative Commons License