High School

We appreciate your visit to What is the simplified form of the fraction below frac 24 30 A frac 2 3 B frac 3 4 C frac 4 5 D. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the simplified form of the fraction below?

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

A. \(\frac{2}{3}\)

B. \(\frac{3}{4}\)

C. \(\frac{4}{5}\)

D. \(\frac{5}{6}\)

Answer :

To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], you need to find the greatest common divisor (GCD) of the numerator and the denominator. Here's a step-by-step explanation:

1. Identify the numerator and the denominator of the fraction. Here, the numerator is 24, and the denominator is 30.

2. Find the GCD of the numerator and the denominator. The GCD is the largest number that divides both numbers without leaving a remainder.
- Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
- The common factors are: 1, 2, 3, 6
- The greatest common factor is 6.

3. Divide both the numerator and the denominator by their GCD (which is 6 in this case):
[tex]\[
\frac{24}{6} = 4
\][/tex]
[tex]\[
\frac{30}{6} = 5
\][/tex]

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

So, the correct answer is:
C. [tex]\(\frac{4}{5}\)[/tex]

Thanks for taking the time to read What is the simplified form of the fraction below frac 24 30 A frac 2 3 B frac 3 4 C frac 4 5 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada