9. 5 -- *. --- 10. 6

To solve the expression, we need to follow the order of operations. In this case, we have a fractional multiplication to perform:

\(\frac{9}{10} * \frac{5}{6}\)

When multiplying fractions, you simply multiply the numerators (top numbers) and then multiply the denominators (bottom numbers):

Numerator: \(9 * 5 = 45\) Denominator: \(10 * 6 = 60\)

Putting them together:

\(\frac{45}{60}\)

Now, the fraction \(\frac{45}{60}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 45 and 60 is 15. So when we divide both numbers by 15, we get:

\(\frac{45 \div 15}{60 \div 15} = \frac{3}{4}\)

So, \(\frac{9}{10} * \frac{5}{6} = \frac{3}{4}\).