Question

5 5/6 divided by 3 1/6

Answer 1

let's firstly convert the mixed fractions to improper fractions and then divide.

`\stackrel{mixed}{5(5)/(6)}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} ~\hfill \stackrel{mixed}{3(1)/(6)}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{6}/ \cfrac{19}{6}\implies \cfrac{35}{6}\cdot \cfrac{6}{19}\implies \cfrac{35}{19}\cdot \cfrac{6}{6}\implies \cfrac{35}{19}\cdot 1\implies 1(16)/(19)`

Answer 2

5 5/6 divided by 3 1/6 is 35/19 or 1 16/19