10 take away 2 5/6

You can change the problem like this:

10-[2+5/6]

now, subtract 2 from 10.

$${\mathtt{10}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{8}}$$

Now, change 8 into 7 6/6

$$8\Rightarrow7\;\;\;6/6$$

Now, subtract 5/6 from 7 6/6.

$$7\;\;\;6/6-5/6=7\;\;\;1/6$$

Now, Change 7 1/6 into a fraction.

$$7\;\;\;1/6\Rightarrow\boxed{7\dfrac{1}{6}}$$

So,  $$7\dfrac{1}{6}$$  is the final answer.