what is 3 and 1/2 divided by 5 and 2/3?

3½ = 3+1/2 = 7/2 (7 = 2*3+1)

5+2/3 = 17/3

(7/2) ÷ (17/3) = (7/2) * (* 3/17)* = (7*3)/(2*17) =

**21/34**

↓

multiply first fraction by

*of a second fraction*

**reciprocal**~~~~~~

P.S. If we are using slash "/" instead of a fraction bar "—", parentheses are very important to keep right order of operation.