Final answer:
The number
has a repeating decimal and can be expressed as the fraction -32/99, which means it is a rational number.
Step-by-step explanation:
The number given is
, which has a repeating decimal pattern. To determine if this number is rational or irrational, we need to establish if it can be expressed as a fraction with integers in the numerator and denominator. A repeating decimal is always considered a rational number because it can be written as a fraction. For example,
can be expressed as -32/99, where -32 is the numerator and 99 is the denominator. Therefore,
is a rational number.