Answer
$14\dfrac{19}{40}$
Work Step by Step
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:
$=\dfrac{29(5)}{8(5)}+\dfrac{217(2)}{20(2)}
\\=\dfrac{145}{40}+\dfrac{434}{40}
\\=\dfrac{145+434}{40}
\\=\dfrac{579}{40}
\\=14\dfrac{19}{40}$
