#### Answer

$6\frac{2}{9}$

#### Work Step by Step

We start by adding the whole numbers: 4+1=5. In order to add or subtract fractions, we start by making a common denominator (bottom of the fraction). Thus, we multiply 5/6 by 3/3 to obtain: $\frac{15}{18}$+($\frac{7}{18}$)=$\frac{22}{18}=1\frac{2}{9}$
We add 5 to this amount to get an answer of $6\frac{2}{9}$