Question

Work out the area of the rectangle give your answer as a mixed number

Answer 1

We'll first convert the mixed fractions to "improper" and then get their product, since the area of a rectangle is the product of its length and width.

$\bf \stackrel{mixed}{5\frac{1}{6}}\implies \cfrac{5\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{31}{6}} \\\\\\ \stackrel{mixed}{2\frac{2}{7}}\implies \cfrac{2\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{16}{7}} \\\\\\ \cfrac{31}{6}\cdot \cfrac{16}{7}\implies \cfrac{496}{42}\implies \stackrel{simplified}{\cfrac{248}{21}}\implies 11\frac{17}{21}$