99/4400

To simplify the fraction \( \frac{99}{4400} \), we can find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number.

1. The prime factorization of 99 is \( 3^2 \times 11 \).
2. The prime factorization of 4400 is \( 2^4 \times 5^2 \times 11 \).

The only common factor between the numerator and the denominator is 11.

Now, divide both the numerator and the denominator by 11:

\[ \frac{99 \div 11}{4400 \div 11} = \frac{9}{400} \]

So, \( \frac{99}{4400} \) simplifies to \( \frac{9}{400} \).