To determine which fraction is equivalent to \( \frac{3}{8} \), we can convert each fraction to its simplest form or compare their cross-products.
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For \( \frac{2}{7} \):
- Cross-multiply: \( 3 \times 7 \) and \( 2 \times 8 \)
- \( 21 \) and \( 16 \) (they are not equal).
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For \( \frac{8}{3} \):
- Cross-multiply: \( 3 \times 3 \) and \( 8 \times 8 \)
- \( 9 \) and \( 64 \) (they are not equal).
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For \( \frac{5}{10} \):
- This fraction simplifies to \( \frac{1}{2} \), which does not equal \( \frac{3}{8} \).
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For \( \frac{9}{24} \):
- This fraction simplifies to \( \frac{3}{8} \) (both can be divided by 3).
So, the fraction equivalent to \( \frac{3}{8} \) is \( \frac{9}{24} \).