namely, how many times does 10 goes into 2½.
well, let's first convert the mixed fraction to "improper" and get their quotient.
[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}
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\cfrac{\frac{5}{2}}{\quad 10\quad }\implies \cfrac{\frac{5}{2}}{\quad \frac{10}{1}\quad }\implies \cfrac{5}{2}\cdot \cfrac{1}{10}\implies \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{4}[/tex]
