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

It appears you are asking to multiply two fractions, $\frac{9}{10} * \frac{5}{6}$.

To multiply fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. Here's the step-by-step process:

1. Multiply the numerators: $9 * 5 = 45$
2. Multiply the denominators: $10 * 6 = 60$

Now you have the new fraction from the multiplication:

$$ \frac{45}{60} $$

However, it's good practice to simplify the fraction to its lowest terms. Both 45 and 60 can be divided by 15:

$$ \frac{45 ÷ 15}{60 ÷ 15} = \frac{3}{4} $$

So, $\frac{9}{10} * \frac{5}{6} = \frac{3}{4}$ when simplified.

If you are ever unsure about the common factor to simplify the fraction, you can always prime factorize both the numerator and denominator and then cancel out common factors. But in this case, dividing by 15 is the quickest way to reach the simplified answer.