## Elementary Technical Mathematics

$14\dfrac{19}{40}$
Convert each mixed number to an improper fraction: $=\dfrac{8(3)+5}{8}+\dfrac{4(1)+3}{4}\times \dfrac{5(6)+1}{5} \\=\dfrac{29}{8}+\dfrac{7}{4}\times \dfrac{31}{5}$ Perform the multuplication first: $=\dfrac{29}{8}+ \dfrac{7(31)}{4(5)} \\=\dfrac{29}{8} + \dfrac{217}{20}$ Make the fractions similar using their LCD, which is $40$, then add: $=\dfrac{29(5)}{8(5)}+\dfrac{217(2)}{20(2)} \\=\dfrac{145}{40}+\dfrac{434}{40} \\=\dfrac{145+434}{40} \\=\dfrac{579}{40} \\=14\dfrac{19}{40}$