How do you simplify #3 5/6 div 7/9#? Algebra Properties of Real Numbers Division of Rational Numbers 1 Answer EZ as pi Sep 27, 2016 #4 13/14# Explanation: Multiplying and dividing fractions: #rarr# change mixed numbers to improper fractions #rarr# change divide to multiply and invert next fraction #rarr# cancel where possible #rarr# multiply: #"top xx top"/"bottom xx bottom"# #rarr# simplify if possible #3 5/6 div 7/9# #= 23/cancel6^2 xx cancel9^3/7# #=69/14# #=4 13/14# Answer link Related questions How do you divide rational numbers? How do you divide rational numbers in fraction form? What is the rule in dividing positive and negative rational numbers? How do you divide rational mixed numbers? How do you divide rational numbers in decimal form? How do you divide rational numbers with variables? Is division of rational numbers associative? Is division of rational numbers closed? Is division of rational numbers commutative? What is a reciprocal of a number? See all questions in Division of Rational Numbers Impact of this question 2208 views around the world You can reuse this answer Creative Commons License