To convert the rational number [tex]\(\frac{9}{37}\)[/tex] to its decimal form, you need to perform the division of the numerator by the denominator. Let's go through the steps:
1. Setup for division: You have the numerator [tex]\(9\)[/tex] and the denominator [tex]\(37\)[/tex].
2. Perform the division: Divide [tex]\(9\)[/tex] by [tex]\(37\)[/tex].
When you divide [tex]\(9\)[/tex] by [tex]\(37\)[/tex], you get the decimal approximation:
[tex]\[
\frac{9}{37} \approx 0.24324324324324326
\][/tex]
So, expressed in decimal form, [tex]\(\frac{9}{37}\)[/tex] is approximately [tex]\(0.24324324324324326\)[/tex].
