in essence, how many times does 1¾ go into 15?
first off, let's convert the mixed fraction to improper, and then divide them.
[tex] \bf \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}}
\\\\\\
\cfrac{\quad 15\quad }{\frac{7}{4}}\implies \cfrac{\quad \frac{15}{1}\quad }{\frac{7}{4}}\implies \cfrac{15}{1}\cdot \cfrac{4}{7}\implies \cfrac{60}{7}\implies 8\frac{4}{7} [/tex]
