Question
Find the quotient. \( 8 \div \frac{4}{7}=[?] \) Simplify your answer completely.
Ask by Rogers Bernard. in the United States
Feb 07,2025
Real Tutor Solution
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.
Reviewed and approved by the UpStudy tutoring team
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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 \( 14 \).