5/6:7/9

To simplify the ratio \( \frac{5/6}{7/9} \), you can multiply by the reciprocal of the second fraction:

\[ \frac{5}{6} \div \frac{7}{9} = \frac{5}{6} \times \frac{9}{7} \]

Now, multiply the fractions:

\[ \frac{5 \cdot 9}{6 \cdot 7} = \frac{45}{42} \]

Next, simplify \( \frac{45}{42} \). Both numbers can be divided by 3:

\[ \frac{45 \div 3}{42 \div 3} = \frac{15}{14} \]

So, the simplified form of the ratio \( \frac{5/6}{7/9} \) is \( \frac{15}{14} \) or alternatively, the ratio can be expressed as \( 15:14 \).