Riley Bernard
08/09/2024 · Primary School
Simplify the following expression; \( \frac{9-3(5+1)}{2} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( \frac{9-3(5+1)}{2} \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
1. Start with the expression inside the parentheses:
\[
5 + 1 = 6
\]
2. Substitute this back into the expression:
\[
\frac{9 - 3(6)}{2}
\]
3. Now, perform the multiplication:
\[
3 \times 6 = 18
\]
4. Substitute this back into the expression:
\[
\frac{9 - 18}{2}
\]
5. Now, perform the subtraction:
\[
9 - 18 = -9
\]
6. Substitute this back into the expression:
\[
\frac{-9}{2}
\]
7. Finally, we can write the result:
\[
-\frac{9}{2}
\]
Thus, the simplified expression is:
\[
\boxed{-\frac{9}{2}}
\]
Quick Answer
The simplified expression is \( -\frac{9}{2} \).
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