[tex]\bf \textit{he can make }10\div 1\frac{1}{3}\qquad or\qquad \cfrac{10}{1\frac{1}{3}}
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1\frac{1}{3}\implies \cfrac{1\cdot 3+1}{3}\implies \cfrac{4}{3}\\\\
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\cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus\\\\
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[tex]\bf \cfrac{10}{\frac{4}{3}}\implies \cfrac{\frac{10}{1}}{\frac{4}{3}}\implies \cfrac{10}{1}\cdot \cfrac{3}{4}\implies \cfrac{30}{4}\implies \cfrac{15}{2}\implies \boxed{7\frac{1}{2}}
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because\implies \cfrac{7\cdot 2+1}{2}\implies \cfrac{15}{2}[/tex]
