Answer
$5\frac{7}{8}$
Work Step by Step
Convert each mixed number to an improper fraction to obtain:
$=\left(\dfrac{8\cdot 2 + 1}{8}\right) + \left(\dfrac{4\cdot 3 + 3}{4}\right)
\\=\dfrac{17}{8} + \dfrac{15}{4}$
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $8$.
$\dfrac{17}{8} + \dfrac{15}{4}
\\= \dfrac{17}{8}+\dfrac{15\color{blue}{(2)}}{4\color{blue}{(2)}}
\\=\dfrac{17}{8}+\dfrac{30}{8}$
Now that the fractions are similar, add the numerators and copy the denominator to obtain:
$=\dfrac{17+30}{8}
\\=\dfrac{47}{8}$
Convert to a mixed number to obtain:
$=\dfrac{40+7}{8}
\\=\dfrac{40}{8} + \dfrac{7}{8}
\\=5\frac{7}{8}$
