College

What is the simplified form of the fraction below?

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

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

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

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

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

Answer :

To simplify the fraction

[tex]$$
\frac{24}{30},
$$[/tex]

first note that the greatest common divisor of the numerator and denominator is [tex]$6$[/tex]. This means we can divide both the numerator and the denominator by [tex]$6$[/tex].

Divide the numerator:

[tex]$$
24 \div 6 = 4.
$$[/tex]

Divide the denominator:

[tex]$$
30 \div 6 = 5.
$$[/tex]

After dividing, the fraction simplifies to

[tex]$$
\frac{4}{5}.
$$[/tex]

Thus, the correct answer is [tex]$\frac{4}{5}$[/tex].

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