Question

19 1/5 - 11 1/11?????????

Answer 1

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

`\stackrel{mixed}{19(1)/(5)}\implies \cfrac{19\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{96}{5}} ~\hfill \stackrel{mixed}{11(1)/(11)}\implies \cfrac{11\cdot 11+1}{11}\implies \stackrel{improper}{\cfrac{122}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{96}{5}~~ - ~~\cfrac{122}{11}\implies \stackrel{\textit{using the LCD of 55}}{\cfrac{(11)96~~ - ~~(5)122}{55}}\implies \cfrac{1056~~ - ~~610}{55} \\\\\\ \cfrac{446}{55}\implies {\LARGE \begin{array}{llll} 8(6)/(55) \end{array}}`

Answer 2

8.109 with 09 repeating unless you round up to get 8.11