Answer :

To simplify the fraction [tex]\(\frac{15}{8}\)[/tex] to its simplest form, follow these steps:

1. Identify the Numerator and Denominator:
The numerator is 15, and the denominator is 8.

2. Find the Greatest Common Divisor (GCD):
To determine the GCD of 15 and 8, we need to find the largest number that evenly divides both the numerator and the denominator. The GCD of 15 and 8 is 1.

3. Simplify the Fraction:
- Divide the numerator by the GCD: [tex]\( \frac{15}{1} = 15 \)[/tex]
- Divide the denominator by the GCD: [tex]\( \frac{8}{1} = 8 \)[/tex]

So, the simplified form of [tex]\(\frac{15}{8}\)[/tex] is [tex]\(\frac{15}{8}\)[/tex].

Therefore, [tex]\(\frac{15}{8}\)[/tex] is already in its simplest form.