What is the fraction representation of 0.12 in its lowest terms?

• A. 3/20
• B. 1/8
• C. 3/25
• D. 2/15

Answer: (C)

To convert the decimal 0.12 into a fraction, we first recognize that it can be expressed as 12/100, since there are two decimal places. To simplify this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 12 and 100 is 4. We can divide both the numerator and the denominator by 4:

• 12 ÷ 4 = 3

• 100 ÷ 4 = 25

This gives us the fraction 3/25.

When checking whether this fraction is in its lowest terms, we observe that there are no common factors between 3 and 25 other than 1, confirming that 3/25 is indeed simplified appropriately.

Thus, the correct representation of 0.12 in its lowest terms as a fraction is 3/25.