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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):
The greatest common divisor of 24 and 30 is the largest number that divides both of them without leaving a remainder.
In this case, the GCD of 24 and 30 is 6.
2. Divide the Numerator and Denominator 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]
3. Write the Simplified Fraction:
After dividing both the numerator and the denominator by their GCD, the simplified form of the fraction is:
[tex]\(\frac{4}{5}\)[/tex]
So, the fraction [tex]\(\frac{24}{30}\)[/tex] simplified to its lowest terms is [tex]\(\frac{4}{5}\)[/tex]. The numerator of the simplified fraction is 4.
1. Find the Greatest Common Divisor (GCD):
The greatest common divisor of 24 and 30 is the largest number that divides both of them without leaving a remainder.
In this case, the GCD of 24 and 30 is 6.
2. Divide the Numerator and Denominator 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]
3. Write the Simplified Fraction:
After dividing both the numerator and the denominator by their GCD, the simplified form of the fraction is:
[tex]\(\frac{4}{5}\)[/tex]
So, the fraction [tex]\(\frac{24}{30}\)[/tex] simplified to its lowest terms is [tex]\(\frac{4}{5}\)[/tex]. The numerator of the simplified fraction is 4.
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