To find fractions that are equal to \(-\frac{4}{9}\), you can multiply both the numerator and the denominator of the fraction by the same non-zero integer.
For example, if we multiply by 2, we have:
\[ -\frac{4 \cdot 2}{9 \cdot 2} = -\frac{8}{18} \]
If we multiply by \(3\):
\[ -\frac{4 \cdot 3}{9 \cdot 3} = -\frac{12}{27} \]
You can choose any integer, \(k\), to obtain new fractions:
\[ -\frac{4k}{9k} \]
For any integer \(k\) (where \(k \neq 0\)), you will get a fraction that simplifies to \(-\frac{4}{9}\).
Example fractions equal to \(-\frac{4}{9}\):
- \(-\frac{4}{9}\)
- \(-\frac{8}{18}\)
- \(-\frac{12}{27}\)
- \(-\frac{16}{36}\)
- \(-\frac{20}{45}\)
These are just a few examples, and you can generate countless others by using different values for \(k\).
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