Question

A farmer needs to enclose two adjacent rectangular pastures. How much fencing does the farmer need? Write your answer as a mixed number.

Answer 1

So hmm check the picture below.

let's first convert each mixed to "improper fraction" and do the sum.

$\bf 30\frac{2}{9}\implies \cfrac{30\cdot 9+2}{9}\implies \cfrac{272}{9} \\\\\\ 50\frac{5}{8}\implies \cfrac{50\cdot 8+5}{8}\implies \cfrac{405}{8}\\\\ -------------------------------$

$\bf 30\frac{2}{9}+30\frac{2}{9}+30\frac{2}{9}+50\frac{5}{8}+50\frac{5}{8}\implies 3\left( 30\frac{2}{9} \right)+2\left( 50\frac{5}{8} \right) \\\\\\ 3\left( \frac{272}{9} \right)+2\left( \frac{405}{8} \right)\implies 1\left( \frac{272}{3} \right)+1\left( \frac{405}{4} \right)\impliedby \textit{using the LCD of 12} \\\\\\ \cfrac{(4\cdot 272)~+~(3\cdot 405)}{12}\implies \cfrac{1088+1215}{12}\implies \cfrac{2303}{12}\implies 191\frac{11}{12}$