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What is the simplified form of the fraction below?

\[ \frac{24}{30} \]

A. \[ \frac{5}{6} \]
B. \[ \frac{3}{4} \]
C. \[ \frac{4}{5} \]
D. \[ \frac{2}{3} \]

Answer :

To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we want to find the greatest common divisor (GCD) of the numerator and the denominator.

1. Find the GCD of 24 and 30:
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The common factors are: 1, 2, 3, 6.
- The greatest common factor is 6.

2. Divide both the numerator and the denominator by the GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.

So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].

Therefore, the correct answer is C. [tex]\(\frac{4}{5}\)[/tex].

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