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Answer :
To find the simplest form of the fraction [tex]\(\frac{24}{30}\)[/tex], follow these steps:
1. Find the Greatest Common Divisor (GCD):
The greatest common divisor of two numbers is the largest number that divides both of them without leaving a remainder. For 24 and 30, the greatest common divisor is 6.
2. Divide the numerator and the 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:
After dividing both the numerator and the denominator by their greatest common divisor, the simplified fraction is:
[tex]\[
\frac{4}{5}
\][/tex]
So, the simplest form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option D.
Therefore, the correct answer is:
D. [tex]\(\frac{4}{5}\)[/tex]
1. Find the Greatest Common Divisor (GCD):
The greatest common divisor of two numbers is the largest number that divides both of them without leaving a remainder. For 24 and 30, the greatest common divisor is 6.
2. Divide the numerator and the 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:
After dividing both the numerator and the denominator by their greatest common divisor, the simplified fraction is:
[tex]\[
\frac{4}{5}
\][/tex]
So, the simplest form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option D.
Therefore, the correct answer is:
D. [tex]\(\frac{4}{5}\)[/tex]
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