#### Answer

$1\dfrac{19}{24}$

#### Work Step by Step

Convert each mixed number to an improper fraction to obtain:
$=\dfrac{8(6)+3}{8}-\dfrac{12(4)+7}{12}
\\=\dfrac{51}{8}-\dfrac{55}{12}$
Find the least common multiple (LCM) of the denominators:
$8 = 2(2)(2)
\\12 = 2(2)(3)$
Thus, the LCM is $2(2)(2)(3) = 24$.
Make the fractions similar using their LCD which is $24$ to obtain:
$=\dfrac{51(3)}{8(3)} - \dfrac{55(2)}{12(2)}
\\=\dfrac{153}{24}-\dfrac{110}{24}
\\=\dfrac{153-110}{24}
\\=\dfrac{43}{24}
\\=1\dfrac{19}{24}$