let's first off convert the mixed fractions to "improper" and then proceed,
[tex] \bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\
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\cfrac{\quad \frac{7}{2}pages\quad }{\frac{3}{4}hour}\implies \cfrac{7}{2}\cdot \cfrac{4}{3}\implies \cfrac{28}{6}\implies \stackrel{simplified}{\cfrac{14}{3}}\cfrac{pages}{hour} [/tex]
