A fraction equivalent to \( \frac{4}{9} \) can be obtained by multiplying both the numerator and the denominator by the same non-zero integer. For example:
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Multiplying by 2: \[ \frac{4 \times 2}{9 \times 2} = \frac{8}{18} \]
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Multiplying by 3: \[ \frac{4 \times 3}{9 \times 3} = \frac{12}{27} \]
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Multiplying by 5: \[ \frac{4 \times 5}{9 \times 5} = \frac{20}{45} \]
Thus, \( \frac{8}{18} \), \( \frac{12}{27} \), and \( \frac{20}{45} \) are all equivalent to \( \frac{4}{9} \). You can create many other equivalent fractions by using different multiplication factors.
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