MHB Order of operations to simplify expressions .

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The expression 3(-3) - (5)2^2 simplifies to -29, while the denominator 8 - SQRoot(36) + 12 simplifies to 14. Therefore, the overall fraction is -29/14, not 11/14 or 5.5 as initially calculated. The calculations confirm that the correct answer is indeed a negative fraction. It's essential to carefully follow the order of operations to avoid errors in simplification.
rachealfarr
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Hi, I have worked the problem but I am not sure that this is the correct answer, Please help.

3(-3) - (5)2^2
____________

8- SQRoot(36) +12 I got an answer of 11/14
but When I check on an online calculator to see if it is correct I am getting 5.5 ...

2^2 = TWO SQUARED
SQRoot = Square root of

Thank you :)
 
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Welcome, rachealfarr. (Wave)

The fraction

$$\frac{3(-3) - (5)2^2}{8 - \sqrt{36} + 12}$$

cannot be equal to either $11/14$ or $5.5$. It's a negative number: $3(-3) - (5)2^2 = -9 - (5)4 = -9 - 20 = -29$ and $8 - \sqrt{36} + 12 = 8 - 6 + 12 = 2 + 12 = 14$, hence the fraction is $-29/14$.

Could you check again to make sure you have the right fraction?
 
$$\frac{3(-3)-(5)2^2}{8-\sqrt{36}+12}=\frac{3(-3)-(5)4}{8-6+12}=\frac{-9-20}{8-6+12}=-\frac{29}{14}$$
 
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