Answer: [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}-\left(-\frac{1}{7}\right)[/tex]
Once you take off the parenthesis, your sign should change from negative to positive.
[tex]\frac{5}{7}-\left(-\frac{1}{7}\right)=\frac{5}{7}+\frac{1}{7}\\\\\frac{5}{7}+\frac{1}{7}[/tex]
The fractions now both have the same denominator. Thus, we can add the numerators.
[tex]\frac{5+1}{7}\\\\5+1\\\\6=\frac{6}{7}[/tex]
Therefore, [tex]\frac{5}{7}-\left(-\frac{1}{7}\right)=\frac{6}{7}[/tex]