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Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex] to its lowest terms, follow these steps:
1. Find the Greatest Common Divisor (GCD): First, we need to determine the greatest common divisor of the numerator (24) and the denominator (30). The GCD is the largest number that divides both 24 and 30 without leaving any remainder.
2. List the Factors:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
3. Identify the GCD: From the lists of factors, identify the greatest common factor. In this case, the greatest common factor is 6.
4. Divide by the GCD: Simplify the fraction by dividing both the numerator and the denominator by the GCD (6).
- [tex]\( \frac{24}{6} = 4 \)[/tex]
- [tex]\( \frac{30}{6} = 5 \)[/tex]
5. Write the Simplified Fraction: So, the fraction [tex]\(\frac{24}{30}\)[/tex] simplified to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex] in its lowest terms.
1. Find the Greatest Common Divisor (GCD): First, we need to determine the greatest common divisor of the numerator (24) and the denominator (30). The GCD is the largest number that divides both 24 and 30 without leaving any remainder.
2. List the Factors:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
3. Identify the GCD: From the lists of factors, identify the greatest common factor. In this case, the greatest common factor is 6.
4. Divide by the GCD: Simplify the fraction by dividing both the numerator and the denominator by the GCD (6).
- [tex]\( \frac{24}{6} = 4 \)[/tex]
- [tex]\( \frac{30}{6} = 5 \)[/tex]
5. Write the Simplified Fraction: So, the fraction [tex]\(\frac{24}{30}\)[/tex] simplified to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex] in its lowest terms.
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