Question

5 1/4 divided 2 2/7 =

Answer 1

first off, let's convert the mixed fractions to "improper" and then divide,


`\bf \stackrel{mixed}{5(1)/(4)}\implies \cfrac{5\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{21}{4}} \\\\\\ \stackrel{mixed}{2(2)/(7)}\implies \cfrac{2\cdot 7+2}{2}\implies \stackrel{improper}{\cfrac{16}{7}}\\\\ -------------------------------\\\\ \cfrac{21}{4}/ \cfrac{16}{7}\implies \cfrac{21}{4}\cdot \cfrac{7}{16}\implies \cfrac{147}{64}\implies 2(19)/(64)`