Final answer:
To express 0.12 as a fraction in its lowest terms, we can convert the decimal to a fraction by using place value. The fraction form of 0.12 in its lowest terms is 3/25.
Step-by-step explanation:
To express 0.12 as a fraction in its lowest terms, we can use place value. The 2 in the hundredths place is equivalent to 2/100, and the 1 in the tenths place is equivalent to 1/10.
Adding these two fractions together, we get 2/100 + 1/10 = 2/100 + 10/100 = 12/100.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 12/100 ÷ 4/4 = 3/25.
Therefore, 0.12 expressed as a fraction in its lowest terms is 3/25.