To divide the fraction \( \frac{5}{7} \) by \( \frac{1}{2} \), you multiply \( \frac{5}{7} \) by the reciprocal of \( \frac{1}{2} \). The reciprocal of \( \frac{1}{2} \) is \( 2 \).
So, the operation becomes:
\[ \frac{5}{7} \div \frac{1}{2} = \frac{5}{7} \times 2 \]
Now, multiply:
\[ \frac{5 \times 2}{7} = \frac{10}{7} \]
Now you can convert \( \frac{10}{7} \) to a mixed number:
\[ \frac{10}{7} = 1 \frac{3}{7} \]
Thus, the quotient of \( \frac{5}{7} \) divided by \( \frac{1}{2} \) is \( 1 \frac{3}{7} \).
The correct answer is: 1 3/7
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