Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], follow these steps:
1. Find the Greatest Common Divisor (GCD):
- Determine the largest number that can evenly divide both the numerator (24) and the denominator (30).
- The GCD of 24 and 30 is 6.
2. Divide Both the Numerator and the Denominator by the GCD:
- Simplify the fraction by dividing both the numerator and the denominator by their GCD.
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
3. Write the Simplified Fraction:
- After division, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Thus, the simplest form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
1. Find the Greatest Common Divisor (GCD):
- Determine the largest number that can evenly divide both the numerator (24) and the denominator (30).
- The GCD of 24 and 30 is 6.
2. Divide Both the Numerator and the Denominator by the GCD:
- Simplify the fraction by dividing both the numerator and the denominator by their GCD.
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
3. Write the Simplified Fraction:
- After division, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Thus, the simplest form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
