Multiply $2$ by $\frac{i}{15}$ to get $\frac{2i}{15}$.

Step 1: Write $2$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Multiply $4$ by $\frac{i}{5}$ to get $\frac{4i}{5}$.

Step 1: Write $4$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Add $\frac{2i}{15}$ and $\frac{4i}{5}$ to get $\frac{14i}{15}$.

To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $3$.