To find a fraction equivalent to \( \frac{2}{5} \), you can multiply both the numerator and the denominator by the same non-zero integer. For example:
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Multiplying by 2: \[ \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \]
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Multiplying by 3: \[ \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \]
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Multiplying by 4: \[ \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]
So, \( \frac{4}{10} \), \( \frac{6}{15} \), and \( \frac{8}{20} \) are all equivalent to \( \frac{2}{5} \). You can find many other equivalent fractions using this method.