Question
\( \frac{1}{3}(4+18)-2^{2} \) Evaluate the expression.
Ask by Henry Harmon. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result of the expression is \(\frac{10}{3}\).
Solution
1. Evaluate the expression inside the parentheses:
\[
4 + 18 = 22
\]
2. Multiply by \(\frac{1}{3}\):
\[
\frac{1}{3} \times 22 = \frac{22}{3}
\]
3. Compute the exponent:
\[
2^2 = 4
\]
4. Subtract the result of step 3 from the result of step 2:
\[
\frac{22}{3} - 4 = \frac{22}{3} - \frac{12}{3} = \frac{10}{3}
\]
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Simplify this solution Bonus Knowledge
To evaluate the expression \( \frac{1}{3}(4+18)-2^{2} \), we start with the parentheses: 1. Calculate \( 4 + 18 = 22 \). 2. Now, substitute back into the expression: \( \frac{1}{3} \times 22 - 2^{2} \). 3. Next, compute \( \frac{1}{3} \times 22 = \frac{22}{3} \). 4. Then, calculate \( 2^{2} = 4 \). 5. Finally, combine these results: \( \frac{22}{3} - 4 \). Since \( 4 \) can be expressed as \( \frac{12}{3} \), we can rewrite the expression: \( \frac{22}{3} - \frac{12}{3} = \frac{22 - 12}{3} = \frac{10}{3} \). So the final answer is \( \frac{10}{3} \).
