The problem requires simplifying the fraction $\frac{30}{33}$.

1. Problem Description

The problem requires simplifying the fraction $\frac{30}{33}$.

2. Solution Steps

First, we need to find the greatest common divisor (GCD) of the numerator (30) and the denominator (33).

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and

3

0. The factors of 33 are 1, 3, 11, and

3

3.

The greatest common divisor of 30 and 33 is

3. Now, we divide both the numerator and the denominator by their GCD, which is

3.

$\frac{30}{3} = 10$

$\frac{33}{3} = 11$

So, the simplified fraction is $\frac{10}{11}$.

3. Final Answer

$\frac{10}{11}$