How do you write $2\dfrac{1}{6}$ as an improper fraction?

Hint:
For solving this type of question you can use many methods. Here we will put values directly in the formula given below.

Formula used:
$I\dfrac{n}{d} = \dfrac{{(I \times d) + n}}{d}$

Complete step by step answer:
Here we are using formula given below
$I\dfrac{n}{d} = \dfrac{{(I \times d) + n}}{d}$
In this here,
$
  I = 2 \\
  n = 1 \\
  d = 6 \\
$
Putting this values in the formula we will get,
$ \Rightarrow 2\dfrac{1}{6} = \dfrac{{(2 \times 6) + 1}}{6}$
So after simplifying we will get,
$ \Rightarrow 2\dfrac{1}{6} = \dfrac{{13}}{6}$

Here the right answer using this formula we will get $\dfrac{{13}}{6}$.

Note:
so in this type of question if you know the formulas you can directly put values in them and questions become very easy to solve.
Another method:
Multiply the integer by the denominator
Here, the integer is $2$ and the denominator is $6$
$ \Rightarrow 2 \times 6 = 12$
Add this to the numerator
Here, the numerator is $1$
$ \Rightarrow 12 + 1 = 13$
After putting this value over the numerator we get,
$ \Rightarrow \dfrac{{13}}{6}$.
So you can also use this method to solve this type of question.