Is –2

1
4
a rational number?

1 answer

Yes, \(-\frac{2}{1}\) (which can also be written as \(-2\)) and \(\frac{1}{4}\) are both rational numbers.

A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

In this case:

  • \(-2\) can be expressed as \(-\frac{2}{1}\), which fits the definition.
  • \(\frac{1}{4}\) is already expressed as a fraction of two integers (1 and 4).

Thus, both \(-2\) and \(\frac{1}{4}\) are rational numbers.