Question

Betsy has 4 1/3 cups of lemonade in a pitcher. She pours 1 2/3 cups into a glass. How much lemonade remains in the pitcher?

Answer 1

let's convert the mixed fractions to improper fractions firstly and then subtract.

`\stackrel{mixed}{4(1)/(3)}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}}~\hfill \stackrel{mixed}{1(2)/(3)} \implies \cfrac{1\cdot 3+2}{3} \implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{3}-\cfrac{5}{3}\implies \cfrac{13-5}{3}\implies \cfrac{8}{3}\implies 2(2)/(3)`