Answer
$\dfrac{-3}{70}$
Work Step by Step
Find the LCM (lease common multiple) of the denominators:
$35 = 7(5)
\\14=7(2)$
The LCM is $7(5)(2) = 70$
Thus, the LCD is also $70$.
Make the fractions similar using their LCD to obtain:
$=\dfrac{6(2)}{35(2)} - \dfrac{3(5)}{14(5)}
\\=\dfrac{12}{70}-\dfrac{15}{70}$
Subtract the numerators and copy the denominator to obtain:
$=\dfrac{12-15}{70}
\\=\dfrac{-3}{70}$