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What is the simplified form of the fraction below?

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

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

Answer :

To simplify the fraction
[tex]$$
\frac{24}{30},
$$[/tex]
we start by finding the greatest common divisor (gcd) of 24 and 30.

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

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

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