Dividing 1/2 and 5/6
(1/2)/(5/6) Starting. Flip 5/6 to 6/5 and multiply instead of divide
(1/2)*(6/5) New sentence
multiply numeraors
1*6=6
Now denominators
5*2=10
6/10
Simplify
6/10=3/5
Check your work with a calc
$${\frac{\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}{\left({\frac{{\mathtt{5}}}{{\mathtt{6}}}}\right)}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}} = {\mathtt{0.6}}$$
Dividing 1/2 and 5/6
(1/2)/(5/6) Starting. Flip 5/6 to 6/5 and multiply instead of divide
(1/2)*(6/5) New sentence
multiply numeraors
1*6=6
Now denominators
5*2=10
6/10
Simplify
6/10=3/5
Check your work with a calc
$${\frac{\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}{\left({\frac{{\mathtt{5}}}{{\mathtt{6}}}}\right)}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}} = {\mathtt{0.6}}$$