Answer :
First, turn these mixed numbers into improper fractions, [tex] 41\frac{2}{3} = \frac{(41*3)+2}{3} = \frac{123}{3} [/tex] and [tex]4 \frac{1}{4} = \frac{(4*4)+1}{4} = \frac{17}{4} [/tex]. Next divide, which you do by flipping the second fraction and multiplying. [tex] \frac{123}{3} / \frac{17}{4} = \frac{123}{3} * \frac{4}{17} = \frac{123*4}{3*17} = \frac{492}{51} [/tex]. If necessary, you could also turn this into a decimal, roughly 9.647, or back into a mixed fraction, [tex]9 \frac{33}{51} [/tex].