## College Algebra (10th Edition)

$\dfrac{-3}{70}$
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: $=\dfrac{12-15}{70} \\=\dfrac{-3}{70}$