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

1 Answer
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