Question
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2. evalute the expression \( 4 \frac{7}{2} \) A. 56 B. 128 C. 154 D.412

Ask by Summers Erickson. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The expression \( 4 \frac{7}{2} \) equals 14, but none of the provided options match this result.

Solution

Calculate the value by following steps: - step0: Calculate: \(4\times \frac{7}{2}\) - step1: Reduce the numbers: \(2\times 7\) - step2: Multiply the numbers: \(14\) To evaluate the expression \( 4 \frac{7}{2} \), we can rewrite it as: \[ 4 \times \frac{7}{2} \] Now, performing the multiplication: \[ 4 \times \frac{7}{2} = \frac{4 \times 7}{2} = \frac{28}{2} = 14 \] The result is \( 14 \), which does not match any of the provided options (A. 56, B. 128, C. 154, D. 412). It seems there might be a misunderstanding in the expression or the options provided. Please check the expression or the options again.

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Mind Expander

To evaluate the expression \( 4 \frac{7}{2} \), first convert the mixed number into an improper fraction. The mixed number can be expressed as \( 4 + \frac{7}{2} \). We can rewrite 4 as \( \frac{8}{2} \) so that both parts have the same denominator. Thus, we have: \[ \frac{8}{2} + \frac{7}{2} = \frac{8 + 7}{2} = \frac{15}{2} \] Now, if we multiply 4 by this fraction, we multiply 4 (or \( \frac{8}{2} \)) by \( \frac{7}{2} \): \[ 4 \cdot \frac{7}{2} = \frac{28}{2} = 14 \] So, the evaluation leads to the final answer: \( \frac{28}{2} = 14 \), which is not present in the options A, B, C, or D provided. It seems that something may have been misinterpreted in how the numbers were presented. Based on the choices provided, the calculation directs that this specific format might not have intended to give whole or integer values. Please check the expression again or the options provided.

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