Answer :

To simplify the fraction [tex]\(\frac{24}{30}\)[/tex] to its lowest terms, follow these steps:

1. Find the Greatest Common Divisor (GCD):
- The GCD is the largest number that can evenly divide both the numerator (24) and the denominator (30).
- Through calculations, we find that the GCD of 24 and 30 is 6.

2. Divide both the Numerator and Denominator by the GCD:
- Divide the numerator by the GCD:
[tex]\[
\frac{24}{6} = 4
\][/tex]
- Divide the denominator by the GCD:
[tex]\[
\frac{30}{6} = 5
\][/tex]

3. Write the Simplified Fraction:
- The numerator and denominator after dividing by the GCD are 4 and 5, respectively.
- Therefore, the simplified fraction is:
[tex]\[
\frac{24}{30} = \frac{4}{5}
\][/tex]

So, the fraction [tex]\(\frac{24}{30}\)[/tex] simplified to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].

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