Question

Which statement explains why 4/9


is a rational number?


4/9 is a rational number because it is not a whole number.



4/9is a rational number because it is a repeating decimal.



4/9is a rational number because it is a terminating decimal.



4/9is a rational number because it is a non-terminating, nonrepeating decimal.

Answer 1

The correct statement explaining why \( \frac{4}{9} \) is a rational number is:

**4/9 is a rational number because it can be expressed as a fraction of two integers (4 and 9).**

However, since this specific option is not among your provided choices, we can still clarify the nature of \( \frac{4}{9} \):

The relevant statements about decimals are as follows:

- \( \frac{4}{9} \) is a repeating decimal (specifically, \( 0.4444...\)).

So the closest relevant statement from the provided options is:

**4/9 is a rational number because it is a repeating decimal.**

This statement correctly relates to the fact that all rational numbers can either be expressed as fractions or result in repeating or terminating decimals when converted.