$$\frac{5}{7}\times \left(\frac{5}{2}\right)+\frac{-8}{14}$$
Multiply $\frac{5}{7}$ times $\frac{5}{2}$ by multiplying numerator times numerator and denominator times denominator.$$\frac{5\times 5}{7\times 2}+\frac{-8}{14}$$
Do the multiplications in the fraction $\frac{5\times 5}{7\times 2}$.$$\frac{25}{14}+\frac{-8}{14}$$
Reduce the fraction $\frac{-8}{14}$ to lowest terms by extracting and canceling out $2$.$$\frac{25}{14}-\frac{4}{7}$$
Least common multiple of $14$ and $7$ is $14$. Convert $\frac{25}{14}$ and $\frac{4}{7}$ to fractions with denominator $14$.$$\frac{25}{14}-\frac{8}{14}$$
Since $\frac{25}{14}$ and $\frac{8}{14}$ have the same denominator, subtract them by subtracting their numerators.$$\frac{25-8}{14}$$
Subtract $8$ from $25$ to get $17$.$$\frac{17}{14}$$