To determine if the fractions \( \frac{8}{24} \) and \( \frac{10}{30} \) are equivalent, we can simplify each fraction:
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Simplifying \( \frac{8}{24} \):
- The greatest common divisor (GCD) of 8 and 24 is 8.
- Dividing the numerator and denominator by 8: \[ \frac{8 \div 8}{24 \div 8} = \frac{1}{3} \]
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Simplifying \( \frac{10}{30} \):
- The GCD of 10 and 30 is 10.
- Dividing the numerator and denominator by 10: \[ \frac{10 \div 10}{30 \div 10} = \frac{1}{3} \]
Since both fractions simplify to \( \frac{1}{3} \), we can conclude that \( \frac{8}{24} \) and \( \frac{10}{30} \) are indeed equivalent.