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Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], follow these steps:
1. Identify the Greatest Common Divisor (GCD):
- First, we need to find 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 Denominator by the GCD:
- Divide the numerator and the denominator by their GCD:
- [tex]\( \frac{24}{6} = 4 \)[/tex]
- [tex]\( \frac{30}{6} = 5 \)[/tex]
3. Write the Simplified Fraction:
- After dividing both the numerator and denominator by the GCD, we get the simplified form of the fraction:
- [tex]\(\frac{24}{30} = \frac{4}{5}\)[/tex]
Therefore, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option B. [tex]\(\frac{4}{5}\)[/tex].
1. Identify the Greatest Common Divisor (GCD):
- First, we need to find 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 Denominator by the GCD:
- Divide the numerator and the denominator by their GCD:
- [tex]\( \frac{24}{6} = 4 \)[/tex]
- [tex]\( \frac{30}{6} = 5 \)[/tex]
3. Write the Simplified Fraction:
- After dividing both the numerator and denominator by the GCD, we get the simplified form of the fraction:
- [tex]\(\frac{24}{30} = \frac{4}{5}\)[/tex]
Therefore, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option B. [tex]\(\frac{4}{5}\)[/tex].
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