Answer: 5 11/12
Find the sum of 2 1/4 + 3 2/3
Step 1: Convert the mixed fraction into an improper fraction
[tex]\begin{gathered} 2\frac{1}{4}\text{ = }\frac{(2\text{ x 4) + 1}}{4} \\ =\text{ }\frac{8\text{ + 1}}{4} \\ \text{= }\frac{9}{4} \\ \text{3 }\frac{2}{3}\text{ = }\frac{(3\text{ x3) + 2}}{3} \\ =\text{ }\frac{9\text{ + 2}}{3} \\ =\text{ }\frac{11}{3} \\ \text{Adding the two fraactions together} \\ \frac{9}{4}\text{ }+\frac{11}{3} \\ \text{The common denominator is 12} \\ \frac{27\text{ + 44}}{12} \\ =\text{ }\frac{71}{12} \\ \text{= 5 }\frac{11}{12} \end{gathered}[/tex]