A number which can be written in the form of a fraction [tex]\frac{p}{q}[/tex] is a rational number Or a decimal number having repeating pattern of the digits after the decimal is said to be a rational number.
Example: [tex]\frac{1}{4},\frac{2}{3},0.232323, 0.414414....[/tex]
Given number 0.15893 is a decimal number but there is no repeating pattern after the decimal.
Therefore, 0.15893 is an irrational number.
Learn more,
https://brainly.com/question/18116115
A rational number is a number that can be written as the quotient of two integers, while an irrational number is one that can not be written as the quotient of two integers.
We will find that the given number is a rational number.
To see if 0.15893 is rational, we need try to write it as the quotient of two integer numbers.
This is rather easy, we can see that we have 5 digits after the decimal point, then we can multiply and divide our number by 10⁵ (which is equivalent to multiply by one)
[tex]0.15893 = 0.15893*\frac{10^5}{10^5} = \frac{15,893}{100,000}[/tex]
So we wrote our number as the quotient of two integer numbers, thus, our number is a rational number.
If you want to learn more, you can read:
https://brainly.com/question/15815501
