Answer
$\dfrac{37}{45}$
Work Step by Step
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $45$.
$\dfrac{13}{15} - \dfrac{2}{45}
\\=\dfrac{13\color{blue}{(3)}}{15\color{blue}{(3)}}-\dfrac{2}{45}
\\=\dfrac{39}{45}-\dfrac{2}{45}$
Now that the fractions are similar, subtract the numerators and copy the denominator to obtain:
$=\dfrac{39-2}{45}
\\=\dfrac{37}{45}$
