Final answer:
To convert the decimal 0.26 to a fraction, write it as 26/100 and simplify by dividing both numerator and denominator by the greatest common divisor, which is 2, to get 13/50.
Step-by-step explanation:
To change 0.26 to a fraction, we consider the place value of the last digit in the decimal. The digit 6 is in the hundredths place, so we start by writing 0.26 as 26/100. This fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator, which in this case is 2. Dividing both 26 and 100 by 2, we get 13/50. Therefore, the decimal 0.26 as a fraction in its simplest form is 13/50.