Question

The Randall farm has 22.82 acres. The Schneider farm has 22 7 over 8 acres. which farm is larger?

Answer 1

let's convert the mixed fraction to improper fraction, and then check.

$\bf \stackrel{mixed}{22\frac{7}{8}}\implies \cfrac{22\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{183}{8}}\stackrel{\textit{to decimal}}{\implies }183\div 8\implies 22.875 \\\\\\ \begin{array}{rrll} Randall&Schneider\\ \cline{1-2} 22.82&22.875\\ 22.820&\\ 820&875 \end{array}\impliedby \stackrel{\textit{so as you can see}}{820 < 875}\qquad \qquad \stackrel{therefore}{22.875 > 22.82}$