Respuesta :

[tex]\frac{37}{15}[/tex]

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

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