College

What is the simplified form of the fraction below?

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

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

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

C. [tex]\frac{2}{3}[/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. Next, 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]

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