How do you divide #13\div 10\frac { 5} { 6}#?

1 Answer
Dec 20, 2016

You first convert the mixed fraction:

Explanation:

#10 5/6=(10xx6/6)+5/6=60/6+5/6=65/6#

Next step: division by a fraction is multiplying by its inverse:

#=13div65/6=13xx6/65=(13xx6)/65#

Now write #65=5xx13#:

#=(cancel13xx6)/(5xxcancel13)=6/5=1 1/5#