Answer:
[tex] \frac{10}{7} \: or \: 1 \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] - \frac{5}{7} \div - \frac{1}{2} = - \frac{5}{7} \times - \frac{2}{1} [/tex]
First you reciprocate the fractions and change the division sign to multiplication.
[tex] - 5 \times - 2 = 10 \: and \: 7 \times 1 = 7[/tex]
Therefore the answer is:
[tex] \frac{10}{7} [/tex]