Question

Ava bought a rectangular rug for her hallway. The rug is 2/3 yd wide and 2 3/4 yd long. What is the area of the rug as a mixed number in simplest form?

Answer 1

first off, we'd convert the mixed fractions to "improper", and then just get the product


`\bf \stackrel{mixed}{2(3)/(4)}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\\\ \cfrac{2}{3}\cdot \cfrac{11}{4}\implies \cfrac{22}{12}\implies \cfrac{11}{6}\implies 1(5)/(6)`