Question

Find the quotient of 5/7 divided by 1/2
*
1 point
1 1/2
1 3/7
5/14
7

Answer 1

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**