Answer :
To reduce the fraction [tex]\(\frac{24}{30}\)[/tex] to its lowest terms, follow these steps:
1. Identify the Greatest Common Divisor (GCD):
- First, we need to find the greatest common divisor of the numerator (24) and the denominator (30).
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The common factors are: 1, 2, 3, 6.
- So, the greatest common divisor is 6.
2. Divide the Numerator and Denominator by the GCD:
- Divide both the numerator and the denominator by the GCD (6).
- [tex]\(\frac{24}{6} = 4\)[/tex]
- [tex]\(\frac{30}{6} = 5\)[/tex]
3. Write the Reduced Fraction:
- After dividing both by their GCD, we have the fraction [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] reduced to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].
1. Identify the Greatest Common Divisor (GCD):
- First, we need to find the greatest common divisor of the numerator (24) and the denominator (30).
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The common factors are: 1, 2, 3, 6.
- So, the greatest common divisor is 6.
2. Divide the Numerator and Denominator by the GCD:
- Divide both the numerator and the denominator by the GCD (6).
- [tex]\(\frac{24}{6} = 4\)[/tex]
- [tex]\(\frac{30}{6} = 5\)[/tex]
3. Write the Reduced Fraction:
- After dividing both by their GCD, we have the fraction [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] reduced to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].
