Question
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Find the quotient. \( 8 \div \frac{4}{7}=[?] \) Simplify your answer completely.

Ask by Rogers Bernard. in the United States
Feb 07,2025

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Tutor-Verified Answer

Answer

The quotient is 14.

Solution

To divide by a fraction, multiply by its reciprocal. So,   8 ÷ (4/7) = 8 × (7/4). Multiplying, we get:   8 × 7 = 56,   so the expression becomes 56/4 = 14. Thus, the quotient is 14.

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Simplify this solution

Mind Expander

To find the quotient \( 8 \div \frac{4}{7} \), you can instead multiply by the reciprocal of \( \frac{4}{7} \). So, it becomes: \[ 8 \times \frac{7}{4} \] Calculating this, you get: \[ \frac{8 \times 7}{4} = \frac{56}{4} = 14 \] So, the final answer is \( 14 \).

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