Question

What fractions are equivalent to -4/9

Answer 1

To find fractions that are equivalent to \(-\frac{4}{9}\), you can multiply both the numerator and the denominator by the same non-zero integer.

For example:

1. Multiply by 2:
\(-\frac{4 \times 2}{9 \times 2} = -\frac{8}{18}\)

2. Multiply by 3:
\(-\frac{4 \times 3}{9 \times 3} = -\frac{12}{27}\)

3. Multiply by -1:
\(-\frac{4 \times -1}{9 \times -1} = \frac{4}{9}\) (Note that this is the positive form of the original fraction.)

4. Multiply by 4:
\(-\frac{4 \times 4}{9 \times 4} = -\frac{16}{36}\)

5. Multiply by 5:
\(-\frac{4 \times 5}{9 \times 5} = -\frac{20}{45}\)

These are just some examples, and you can generate infinitely many equivalent fractions by choosing different integers to multiply by. All these fractions simplify to \(-\frac{4}{9}\).