## Elementary Technical Mathematics

$1\dfrac{19}{24}$
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: $=\dfrac{51(3)}{8(3)} - \dfrac{55(2)}{12(2)} \\=\dfrac{153}{24}-\dfrac{110}{24} \\=\dfrac{153-110}{24} \\=\dfrac{43}{24} \\=1\dfrac{19}{24}$