Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], you can follow these steps:
1. Find the Greatest Common Divisor (GCD):
First, identify the greatest number that can divide both 24 and 30 without leaving a remainder. The greatest common divisor of 24 and 30 is 6.
2. Divide the Numerator and Denominator by the GCD:
- Divide the numerator (24) by the GCD (6):
[tex]\[
\frac{24}{6} = 4
\][/tex]
- Divide the denominator (30) by the GCD (6):
[tex]\[
\frac{30}{6} = 5
\][/tex]
3. Write the Simplified Fraction:
The simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is D. [tex]\(\frac{4}{5}\)[/tex].
1. Find the Greatest Common Divisor (GCD):
First, identify the greatest number that can divide both 24 and 30 without leaving a remainder. The greatest common divisor of 24 and 30 is 6.
2. Divide the Numerator and Denominator by the GCD:
- Divide the numerator (24) by the GCD (6):
[tex]\[
\frac{24}{6} = 4
\][/tex]
- Divide the denominator (30) by the GCD (6):
[tex]\[
\frac{30}{6} = 5
\][/tex]
3. Write the Simplified Fraction:
The simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is D. [tex]\(\frac{4}{5}\)[/tex].
