Add and simplify the following fractions: 4/24 + 2/24

The fractions have the same denominator, so we add the numerators.

$$\frac{4}{24} + \frac{2}{24} = \frac{4+2}{24} = \frac{6}{24}$$

To simplify $\frac{6}{24}$, find the greatest common divisor (GCD) of the numerator (6) and the denominator (24).
The GCD of 6 and 24 is 6.
Divide both the numerator and the denominator by 6.

$$\frac{6 \div 6}{24 \div 6} = \frac{1}{4}$$

The simplified answer is $\frac{1}{4}$.