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 start by finding the greatest common divisor (GCD) of the numerator (24) and the denominator (30).

1. Find the GCD:

- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.

The common factors between 24 and 30 are: 1, 2, 3, 6. So, the greatest common divisor is 6.

2. Simplify the fraction:

- Divide both the numerator and the denominator by their GCD (6).

[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]

So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].

The correct answer is:
A. [tex]\(\frac{4}{5}\)[/tex]