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Simplify the following expression:

[tex]\[ 27 + 3 - \frac{45}{5} + \frac{16}{4} \][/tex]


Sagot :

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]