7/8:5/6

To simplify the ratio \( \frac{7/8}{5/6} \), you can divide the two fractions. Dividing by a fraction is the same as multiplying by its reciprocal. Thus:

\[ \frac{7/8}{5/6} = \frac{7}{8} \times \frac{6}{5} \]

Now, multiply the numerators together and the denominators together:

\[ = \frac{7 \times 6}{8 \times 5} \] \[ = \frac{42}{40} \]

You can simplify \( \frac{42}{40} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

\[ = \frac{21}{20} \]

So, \( 7/8 : 5/6 \) simplifies to \( 21 : 20 \).