Answer
$14\dfrac{29}{48}$
Work Step by Step
Note that:
$a\dfrac{b}{c} = a + \dfrac{b}{c}$
Thus, the given expression is equivalent to:
$=5 + \dfrac{3}{16} + 9+ \dfrac{5}{12}$
Add the whole number parts to obtain:
$=(5+9)+\dfrac{3}{16}+\dfrac{5}{12}
\\=14+\dfrac{3}{16}+\dfrac{5}{12}$
Find the LCM of 12 and 16:
$12 = 4(3)
\\16 = 4(4)$
Thus, the LCM is $4(4)(3) = 48$.
Make the fractions similar using their LCD which is $48$ to obtain:
$=14 + \dfrac{3(3)}{16(3)} + \dfrac{5(4)}{12(4)}
\\=14 + \dfrac{9}{48}+\dfrac{20}{48}
\\=14 + \dfrac{9+20}{48}
\\=14 + \dfrac{29}{48}
\\=14\dfrac{29}{48}$
