Simplify 5/6×9/10

To simplify the expression \(\frac{5}{6} \times \frac{9}{10}\), you can multiply the numerators together and the denominators together:

\[
\frac{5 \times 9}{6 \times 10} = \frac{45}{60}
\]

Next, we simplify \(\frac{45}{60}\) by finding the greatest common divisor (GCD) of 45 and 60. The GCD is 15.

Now, divide both the numerator and the denominator by 15:

\[
\frac{45 \div 15}{60 \div 15} = \frac{3}{4}
\]

Thus, the simplified form of \(\frac{5}{6} \times \frac{9}{10}\) is \(\frac{3}{4}\).