How do you simplify #3 5/6 div 7/9#?

1 Answer
Sep 27, 2016

Answer:

#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#