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Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find its greatest common divisor (GCD) and divide both the numerator and the denominator by this number.
1. Identify the GCD: First, find the greatest common divisor of 24 and 30. The GCD is the largest number that divides both 24 and 30 without any remainder.
2. Divide the Numerator and Denominator:
- Divide the numerator (24) and the denominator (30) by their GCD.
3. Simplify the Fraction:
- Let's say the GCD is 6. Then:
- Simplify the numerator: [tex]\( \frac{24}{6} = 4 \)[/tex]
- Simplify the denominator: [tex]\( \frac{30}{6} = 5 \)[/tex]
4. Final Simplified Fraction: After dividing both the numerator and the denominator by 6, the simplified form of the fraction is [tex]\(\frac{4}{5}\)[/tex].
So, the answer is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option C.
1. Identify the GCD: First, find the greatest common divisor of 24 and 30. The GCD is the largest number that divides both 24 and 30 without any remainder.
2. Divide the Numerator and Denominator:
- Divide the numerator (24) and the denominator (30) by their GCD.
3. Simplify the Fraction:
- Let's say the GCD is 6. Then:
- Simplify the numerator: [tex]\( \frac{24}{6} = 4 \)[/tex]
- Simplify the denominator: [tex]\( \frac{30}{6} = 5 \)[/tex]
4. Final Simplified Fraction: After dividing both the numerator and the denominator by 6, the simplified form of the fraction is [tex]\(\frac{4}{5}\)[/tex].
So, the answer is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option C.
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