High School

What is the simplified form of the fraction below?

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

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

Answer :

To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find its greatest common divisor (GCD) and divide both the numerator and the denominator by this number.

1. Identify the GCD: First, find the greatest common divisor of 24 and 30. The GCD is the largest number that divides both 24 and 30 without any remainder.

2. Divide the Numerator and Denominator:
- Divide the numerator (24) and the denominator (30) by their GCD.

3. Simplify the Fraction:
- Let's say the GCD is 6. Then:
- Simplify the numerator: [tex]\( \frac{24}{6} = 4 \)[/tex]
- Simplify the denominator: [tex]\( \frac{30}{6} = 5 \)[/tex]

4. Final Simplified Fraction: After dividing both the numerator and the denominator by 6, the simplified form of the fraction is [tex]\(\frac{4}{5}\)[/tex].

So, the answer is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option C.