Final answer:
The decimal 0.68 can be expressed as the fraction 68/100. Simplifying this fraction by dividing both the numerator and denominator by their GCD, which is 4, gives us 17/25.
Step-by-step explanation:
To write the decimal 0.68 as a fraction or mixed number in its simplest form, you provide the value of the decimal as a fraction with a denominator of 100, and then simplify. The decimal 0.68 means 68 hundredths, so as a fraction, this is 68/100.
Now, to simplify the fraction, we find the greatest common divisor (GCD) of 68 and 100, which is 4. We then divide both the numerator and the denominator by 4 to get the fraction in the simplest form:
68 ÷ 4 = 17
100 ÷ 4 = 25
So, 0.68 as a fraction in simplest form is 17/25.