Given that
4 3/14 + 4/7
[tex]\begin{gathered} 4\frac{3}{14}\text{ + }\frac{4}{7} \\ \text{Firstly, convert the mixed fraction into an improper fraction} \\ 4\text{ }\frac{3}{14}\text{ = }\frac{(4\text{ x 14) + 3}}{14} \\ 4\frac{3}{14}\text{ = }\frac{56\text{ + 3}}{14} \\ 4\frac{3}{14}\text{ = }\frac{59}{14} \\ \\ \text{Therefore, }\frac{59}{14}\text{ + }\frac{4}{7} \\ \frac{59}{14}\text{ + }\frac{4}{7} \\ \text{The common denominator is 14} \\ \frac{14\frac{59}{14}\text{ +14 }\frac{4}{7}}{14}\text{ = }\frac{59\text{ + 8}}{14} \\ =\text{ }\frac{67}{14\text{ }} \\ =\text{ }4\frac{11}{14} \end{gathered}[/tex]