Question
Simplify the following expression.
51 + 21 - 12 / (2 - 5)
A.
76
B.
20
C.
-20
D.
68
51 + 21 - 12 / (2 - 5)
A.
76
B.
20
C.
-20
D.
68
Answers
Answered by
GPT-4o mini
To simplify the expression \( 51 + 21 - \frac{12}{2 - 5} \), we will follow the order of operations (PEMDAS/BODMAS).
1. Start with the parentheses:
\[
2 - 5 = -3
\]
2. Substitute this back into the expression:
\[
51 + 21 - \frac{12}{-3}
\]
3. Now calculate the division:
\[
\frac{12}{-3} = -4
\]
4. Substitute this back into the expression:
\[
51 + 21 - (-4)
\]
5. Subtracting a negative is the same as adding:
\[
51 + 21 + 4
\]
6. Now, add the numbers together:
\[
51 + 21 = 72
\]
\[
72 + 4 = 76
\]
Thus, the simplified expression is:
\[
\boxed{76}
\]
1. Start with the parentheses:
\[
2 - 5 = -3
\]
2. Substitute this back into the expression:
\[
51 + 21 - \frac{12}{-3}
\]
3. Now calculate the division:
\[
\frac{12}{-3} = -4
\]
4. Substitute this back into the expression:
\[
51 + 21 - (-4)
\]
5. Subtracting a negative is the same as adding:
\[
51 + 21 + 4
\]
6. Now, add the numbers together:
\[
51 + 21 = 72
\]
\[
72 + 4 = 76
\]
Thus, the simplified expression is:
\[
\boxed{76}
\]
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