Question

What is 5 1/4 . 1 5/9 ? Express the answer in simplest form

Answer 1

$5\dfrac{1}{4}\cdot1\dfrac{5}{9}=\dfrac{5\cdot4+1}{4}\cdot\dfrac{1\cdot9+5}{9}=\dfrac{21}{4}\cdot\dfrac{14}{9}=\dfrac{7}{2}\cdot\dfrac{7}{3}\\\\=\dfrac{7\cdot7}{2\cdot3}=\dfrac{49}{6}=\dfrac{48+1}{6}=\boxed{8\dfrac{1}{6}}$