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]
