How can I express the decimal 0.29 as a fraction in its simplest form?

To express the decimal 0.29 as a fraction, follow these steps:

1. Write the decimal as a fraction over 1:
   
   0.29 = 0.29/1
2. To eliminate the decimal, multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point):
   
   (0.29 × 100)/(1 × 100) = 29/100
3. Now, we have the fraction 29/100. Next, we need to check if it can be simplified:
4. Determine the greatest common divisor (GCD) of 29 and 100. In this case, 29 is a prime number, and it does not divide 100, so:
5. The GCD is 1. Since the GCD is 1, the fraction is already in its simplest form.

Thus, the decimal 0.29 expressed as a fraction in its simplest form is:

29/100