College

What is the simplified form of the fraction below?

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

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

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

C. [tex]\[\frac{5}{6}\][/tex]

D. [tex]\[\frac{2}{3}\][/tex]

Answer :

To simplify the fraction
[tex]$$\frac{24}{30},$$[/tex]
we first 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. Next, we 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 is
[tex]$$\frac{4}{5},$$[/tex]
which corresponds to option A.

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