Question

What is 9 1/2+6 1/3+ 8 1/3=

Answer 1

first off, let's convert the mixed fractions to improper, and then do the sum.

$\bf \stackrel{mixed}{9\frac{1}{2}}\implies \cfrac{9\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{19}{2}} \\\\\\ \stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} \\\\\\ \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}\\\\ -------------------------------$

$\bf \cfrac{19}{2}+\cfrac{19}{3}+\cfrac{25}{3}\implies \stackrel{\textit{our LCD is clearly 6}}{\cfrac{3(19)+2(19)+2(25)}{6}}\implies \cfrac{57+38+50}{6} \\\\\\ \cfrac{145}{6}\implies 24\frac{1}{6}$