Certainly! Let's evaluate the expression step-by-step while following the order of operations (PEMDAS/BODMAS):
Expression:
[tex]\[ 5 + \frac{16}{4} \cdot 3 - \frac{8}{4} \][/tex]
Step 1: Perform the divisions first (since division and multiplication take precedence over addition and subtraction).
[tex]\[ \frac{16}{4} = 4 \][/tex]
[tex]\[ \frac{8}{4} = 2 \][/tex]
Now, substitute back into the expression:
[tex]\[ 5 + 4 \cdot 3 - 2 \][/tex]
Step 2: Perform the multiplication.
[tex]\[ 4 \cdot 3 = 12 \][/tex]
Substitute back into the expression:
[tex]\[ 5 + 12 - 2 \][/tex]
Step 3: Perform the addition and subtraction from left to right.
[tex]\[ 5 + 12 = 17 \][/tex]
[tex]\[ 17 - 2 = 15 \][/tex]
So, the final result of the expression is:
[tex]\[ 15 \][/tex]
