Question

How do you solve 7/12 ÷ 2 5/8

Answer 1

first off, we'd convert the mixed fraction to "improper" and then proceed,

$\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}}\\\\ -------------------------------\\\\ \cfrac{7}{12}\div \cfrac{21}{8}\implies \cfrac{7}{12}\cdot \cfrac{8}{21}\implies \cfrac{\underline{7}}{3\cdot \underline{4}}\cdot \cfrac{2\cdot \underline{4}}{3\cdot \underline{7}}\implies \cfrac{2}{9}$

Answer 2

I agree with the other answer.