To find fractions equivalent to \(-\frac{4}{9}\), you can multiply both the numerator and the denominator by the same non-zero integer. Here are some examples:
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Multiply by 2: \[ -\frac{4 \times 2}{9 \times 2} = -\frac{8}{18} \]
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Multiply by -3: \[ -\frac{4 \times -3}{9 \times -3} = \frac{12}{-27} = -\frac{12}{27} \]
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Multiply by 5: \[ -\frac{4 \times 5}{9 \times 5} = -\frac{20}{45} \]
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Multiply by -1: \[ -\frac{4 \times -1}{9 \times -1} = \frac{4}{-9} = -\frac{4}{9} \]
Thus, some fractions that are equivalent to \(-\frac{4}{9}\) include:
- \(-\frac{8}{18}\)
- \(-\frac{12}{27}\)
- \(-\frac{20}{45}\)
Any fraction that can be derived by multiplying the numerator and denominator of \(-\frac{4}{9}\) by the same non-zero number will be equivalent.