Question
Evaluate the expression. \[ (6-2) \div \frac{1}{3}=\square \]
Ask by Pena Lane. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 4 \div \frac{1}{3} = 12 \)
Solution
Calculate or simplify the expression \( (6-2) \div \frac{1}{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(6-2\right)\div \frac{1}{3}\)
- step1: Subtract the numbers:
\(4\div \frac{1}{3}\)
- step2: Multiply by the reciprocal:
\(4\times 3\)
- step3: Multiply the numbers:
\(12\)
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Simplify this solution Extra Insights
To evaluate the expression \((6-2) \div \frac{1}{3}\), we first perform the subtraction inside the parentheses: \[ 6 - 2 = 4 \] Now, we replace the parentheses in the original expression: \[ 4 \div \frac{1}{3} \] Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as: \[ 4 \times 3 = 12 \] Thus, the final answer is: \[ (6-2) \div \frac{1}{3} = 12 \]
