what is 19 and 1/2 divided by 3 and 3/4

Why thank you!

19 1/2=39/2

3 3/4= 15/4

(39/2)/(15/4)  Let's flip 15/4 to 4/15 then multiply

(39/2)*(4/15)  that's the new sentence

39*4=156

2*15=30

156/30=26/5

26/5=5 1/5

Just to check my work:

$${\frac{\left({\frac{{\mathtt{39}}}{{\mathtt{2}}}}\right)}{\left({\frac{{\mathtt{15}}}{{\mathtt{4}}}}\right)}} = {\frac{{\mathtt{26}}}{{\mathtt{5}}}} = {\mathtt{5.2}}$$

So I am correct and there you go!

wow you rock