Which statement about fractions is true regarding 0.12?

• A. It can be simplified to 2/15
• B. It equals 1/5
• C. It is equivalent to 3/25
• D. It is greater than 1/4

Answer: (C)

To understand why the statement about 0.12 being equivalent to 3/25 is accurate, we can convert the decimal into a fraction. The decimal 0.12 can be expressed as 12/100, because the digits after the decimal point represent hundredths.

Next, we simplify 12/100 by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 12 and 100 is 4. Dividing both the numerator and the denominator by 4 gives us:

12 ÷ 4 = 3

100 ÷ 4 = 25

Thus, 12/100 simplifies to 3/25, confirming that 0.12 is indeed equivalent to 3/25.

This understanding allows us to see why this statement is true without needing to compare it against the other claims about 0.12 made in the question. The conversion and simplification method used further clarifies the relationship between the decimal and its fractional representation.