High School

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 look for the greatest number that divides both the numerator and the denominator evenly. In this case, the greatest common divisor is [tex]$6$[/tex].

Now, 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]>

This corresponds to option C.

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