Question

What is the result of −18⋅16 2/3? Enter the result as an improper fraction and as a mixed number.

Answer 1

let's firstly convert the mixed fraction to "improper" and then proceed,


`\bf \stackrel{mixed}{16(2)/(3)}\implies \cfrac{16\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{50}{3}}\\\\ -------------------------------\\\\ -18\cdot \cfrac{50}{3}\implies \cfrac{-18\cdot 50}{3}\implies \cfrac{-18}{3}\cdot 50\implies -6\cdot 50\implies -300 \\\\\\ \cfrac{-300}{1}\implies -300(1)/(1)`