Question

Divide. reduce the answer to lowest terms. 2 1/9 / 31/3

Answer 1

`(2(1)/(9))/(3(1)/(3))\\\\\text{Convert the mixed numbers to the impropper fractions}\\\\2(1)/(9)=(2\cdot9+1)/(9)=(20)/(9)\\\\3(1)/(3)=(3\cdot3+1)/(3)=(10)/(3)\\\\(2(1)/(9))/(3(1)/(3))=2(1)/(9)/3(1)/(3)=(20)/(9)/(10)/(3)=(20\!\!\!\!\diagup)/(9\!\!\!\!\diagup_3)\cdot(3\!\!\!\!\diagup^1)/(10\!\!\!\!\diagup)=(2)/(3)`