To calculate \( \frac{24}{25} \times \frac{35}{36} \), you can multiply the numerators together and the denominators together.
\[ \frac{24 \times 35}{25 \times 36} \]
Calculating the numerator:
\[ 24 \times 35 = 840 \]
Calculating the denominator:
\[ 25 \times 36 = 900 \]
Now, put the results together:
\[ \frac{840}{900} \]
To simplify this fraction, find the greatest common divisor (GCD) of 840 and 900. The GCD is 60, so you can divide both the numerator and the denominator by 60:
\[ \frac{840 \div 60}{900 \div 60} = \frac{14}{15} \]
Thus, \( \frac{24}{25} \times \frac{35}{36} = \frac{14}{15} \).