A rational number is defined as a number that can be expressed as the ratio of two integers, where the numerator is an integer and the denominator is a non-zero integer. This means that any rational number can be written in the form a/b, where a and b are integers and b ≠ 0.
Moreover, rational numbers can also be represented as decimals. There are two types of decimal representations for rational numbers: terminating decimals and repeating decimals. A terminating decimal is one that ends after a certain number of digits (for instance, 0.75), while a repeating decimal has one or more digits that repeat infinitely (like 0.333…).
To illustrate, the rational number 1/4 can be expressed as the terminating decimal 0.25. On the other hand, the rational number 1/3 can be represented as the repeating decimal 0.333…, where the digit ‘3’ continues indefinitely.
In summary, yes, a rational number can indeed be written as the ratio of one integer to another and can be represented by either a terminating or repeating decimal.