Answer
$\dfrac{1}{10}$
Work Step by Step
Factor each denominator completely to obtain:
$15=3(5)
\\6=2(3)$
Thus, the least common multiple of the two numbers is: $2(3)(5)=30$
This means that the LCD is also $30$.
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $30$.
$\dfrac{4}{15} - \dfrac{1}{6}
\\= \dfrac{4\color{blue}{(2)}}{15\color{blue}{(2)}}-\dfrac{1\color{blue}{(5)}}{6\color{blue}{(5)}}
\\=\dfrac{8}{30}-\dfrac{5}{30}$
Now that the fractions are similar, subtract the numerators and copy the denominator to obtain:
$=\dfrac{8-5}{30}
\\=\dfrac{3}{30}
\\=\dfrac{1}{10}$
