1. The problem is to compare the two fractions $\frac{5}{6}$ and $\frac{5}{7}$.\n\n2. To compare fractions, we can find a common denominator or cross-multiply.\n\n3. Using cross-multiplication: multiply numerator of first fraction by denominator of second and vice versa:\n$$5 \times 7 = 35$$\n$$5 \times 6 = 30$$\n\n4. Since $35 > 30$, it means $\frac{5}{6} > \frac{5}{7}$.\n\n5. Therefore, $\frac{5}{6}$ is greater than $\frac{5}{7}$.