Convert the decimal to a fraction. The decimal 12.035 can be written as 12035/1000, as there are three decimal places.

To reduce the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 12035 and 1000 is 5.

12035 ÷ 5 = 2407
1000 ÷ 5 = 200

So, the reduced fraction for 12.035 is:

12.035 = 2407/200

To convert a decimal into a reduced fraction:
Step 1: Write down the decimal as a fraction with the decimal value as the numerator and 1 as the denominator. For example, if the decimal is 0.75, you would have 0.75/1.
Step 2: To remove the decimal, multiply both the numerator and denominator by 10, 100, or any power of 10 that eliminates the decimal part. In this case, we can multiply both by 100 to get 75/100.
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by their GCD. In this example, the GCD of 75 and 100 is 25, so dividing both by 25 gives us the reduced fraction 3/4.
So, the decimal 0.75 is equivalent to the reduced fraction 3/4.