[tex]\bf \stackrel{\textit{mixed fraction}}{a\frac{b}{c}}\qquad \stackrel{\textit{improper fraction}}{\cfrac{a\cdot c+b}{c}}
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thus\implies \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}}[/tex]