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What is the simplified form of the fraction below?

[tex]\(\frac{24}{30}\)[/tex]

A. [tex]\(\frac{2}{3}\)[/tex]

B. [tex]\(\frac{3}{4}\)[/tex]

C. [tex]\(\frac{4}{5}\)[/tex]

D. [tex]\(\frac{5}{6}\)[/tex]

Answer :

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

1. The GCD of [tex]$24$[/tex] and [tex]$30$[/tex] is [tex]$6$[/tex].

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

Thus, the simplified form of the fraction [tex]$\frac{24}{30}$[/tex] is
[tex]$$
\frac{4}{5},
$$[/tex]
which corresponds to option C.

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