Sure! Let's solve the expression \(27 + 3 - \frac{45}{5} + 16\) step by step, following the order of operations (PEMDAS/BODMAS rules):
1. Division first:
[tex]\[
\frac{45}{5} = 9
\][/tex]
2. Rewrite the expression with the result of the division:
[tex]\[
27 + 3 - 9 + 16
\][/tex]
3. Perform the first addition:
[tex]\[
27 + 3 = 30
\][/tex]
4. Subtraction:
[tex]\[
30 - 9 = 21
\][/tex]
5. Final addition:
[tex]\[
21 + 16 = 37
\][/tex]
So, the final result of the expression \(27 + 3 - \frac{45}{5} + 16\) is:
[tex]\[
37
\][/tex]