Explanation
[tex]2\frac{2}{5}+\frac{1}{15}[/tex]Step 1
convert the mixed number into an improper fraction:
remember how
[tex]a\frac{b}{c}=\frac{(ac)+b}{c}[/tex]then
[tex]2\frac{2}{5}=\frac{(2\cdot5+2)}{5}=\frac{12}{5}[/tex]Step 2
now, add the fractions ( normally)
remember how:
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}[/tex]then
[tex]\begin{gathered} \frac{12}{5}+\frac{1}{15} \\ \frac{12}{5}+\frac{1}{15}=\frac{12\cdot15+5\cdot1}{5\cdot15} \\ \frac{12}{5}+\frac{1}{15}=\frac{185}{75} \\ \frac{12}{5}+\frac{1}{15}=\frac{37}{15} \end{gathered}[/tex]therefore, the answer is
[tex]\frac{37}{15}[/tex]I hope this helps you