Answer :

To simplify the fraction [tex]\(\frac{4}{24}\)[/tex] to its lowest terms, follow these steps:

1. Identify the Greatest Common Divisor (GCD):
Find the greatest common divisor (GCD) of the numerator (4) and the denominator (24). The GCD is the largest positive integer that divides both numbers without leaving a remainder.

2. Simplify the Numerator and Denominator:
Divide both the numerator and the denominator by their GCD to simplify the fraction.

3. Perform the Division:
Using the values from above:
- Divide the numerator (4) by the GCD.
- Divide the denominator (24) by the GCD.

So, let's go through the steps involving our values:

- The GCD of 4 and 24 is 4.
- Divide the numerator by 4: [tex]\(4 \div 4 = 1\)[/tex].
- Divide the denominator by 4: [tex]\(24 \div 4 = 6\)[/tex].

Therefore, the fraction [tex]\(\frac{4}{24}\)[/tex] simplified to its lowest terms is:
[tex]\[ \frac{4}{24} = \frac{1}{6} \][/tex]

So, [tex]\(\frac{4}{24}\)[/tex] simplifies to [tex]\(\frac{1}{6}\)[/tex].