5 6 - : - 6 7

To simplify the fraction \(\frac{5/6}{6/7}\), you can multiply by the reciprocal of the second fraction:

\[ \frac{5}{6} \div \frac{6}{7} = \frac{5}{6} \times \frac{7}{6} \]

Now, multiply the numerators and the denominators:

\[ = \frac{5 \times 7}{6 \times 6} = \frac{35}{36} \]

So, the result of simplifying \(\frac{5/6}{6/7}\) is \(\frac{35}{36}\).