6/7:5/7

To simplify the ratio \( \frac{6}{7} : \frac{5}{7} \), we can first express it as a fraction:

\[ \frac{6/7}{5/7} \]

Dividing two fractions is done by multiplying by the reciprocal, so we have:

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

Thus, the simplified form of the ratio \( \frac{6}{7} : \frac{5}{7} \) is \( 6:5 \).