Answer :

Certainly! Let's solve the given mathematical expression step by step.

Given expression:
[tex]$ 61 + 116 \div (15 + 14) - 30 $[/tex]

Step 1: Simplify the expression inside the parentheses.

We have:
[tex]$ 15 + 14 $[/tex]

Adding these together, we get:
[tex]$ 15 + 14 = 29 $[/tex]

So, the expression now becomes:
[tex]$ 61 + 116 \div 29 - 30 $[/tex]

Step 2: Perform the division next.

We need to divide 116 by 29:
[tex]$ 116 \div 29 = 4 $[/tex]

Now, the expression is:
[tex]$ 61 + 4 - 30 $[/tex]

Step 3: Perform the addition.

Add 61 and 4 together:
[tex]$ 61 + 4 = 65 $[/tex]

So now the expression is simplified to:
[tex]$ 65 - 30 $[/tex]

Step 4: Perform the subtraction.

Subtract 30 from 65:
[tex]$ 65 - 30 = 35 $[/tex]

Thus, the final result is:
[tex]$ \boxed{35} $[/tex]