Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number.
1. First, identify the GCD of the numbers 24 and 30. The GCD is the largest number that can exactly divide both numbers.
2. For 24 and 30, the GCD is 6.
3. Next, divide both the numerator and the denominator of the fraction by the GCD:
- Divide the numerator (24) by 6:
[tex]\[
\frac{24}{6} = 4
\][/tex]
- Divide the denominator (30) by 6:
[tex]\[
\frac{30}{6} = 5
\][/tex]
4. Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{4}{5}\)[/tex]
1. First, identify the GCD of the numbers 24 and 30. The GCD is the largest number that can exactly divide both numbers.
2. For 24 and 30, the GCD is 6.
3. Next, divide both the numerator and the denominator of the fraction by the GCD:
- Divide the numerator (24) by 6:
[tex]\[
\frac{24}{6} = 4
\][/tex]
- Divide the denominator (30) by 6:
[tex]\[
\frac{30}{6} = 5
\][/tex]
4. Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{4}{5}\)[/tex]
