To find fractions that are equivalent to \(-\frac{4}{9}\), you can multiply both the numerator and the denominator of the fraction by the same non-zero integer. Here are a few examples:
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Multiply by \(2\): \[ -\frac{4 \times 2}{9 \times 2} = -\frac{8}{18} \]
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Multiply by \(3\): \[ -\frac{4 \times 3}{9 \times 3} = -\frac{12}{27} \]
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Multiply by \(-1\): \[ -\frac{4 \times -1}{9 \times -1} = \frac{4}{9} \] This is not equivalent as it's the positive version.
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Multiply by \(-2\): \[ -\frac{4 \times -2}{9 \times -2} = \frac{8}{18} \]
The general form of an equivalent fraction to \(-\frac{4}{9}\) is: \[ -\frac{4k}{9k} \] where \(k\) is any non-zero integer.
Thus, some examples of equivalent fractions to \(-\frac{4}{9}\) include:
- \(-\frac{8}{18}\)
- \(-\frac{12}{27}\)
- etc.
Any fraction in the form \(-\frac{4k}{9k}\) with non-zero \(k\) will be equivalent to \(-\frac{4}{9}\).
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