To convert the decimal 2.4 into a fraction, we can follow a straightforward process. The number 2.4 can be interpreted as 2.4/1. To eliminate the decimal point, we can multiply both the numerator and the denominator by 10, since there is one digit after the decimal point. This gives us:
2.4/1 = (2.4 * 10) / (1 * 10) = 24/10.
Next, we can simplify the fraction 24/10 by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
24 ÷ 2 = 12 and 10 ÷ 2 = 5. So, we get:
12/5.
Thus, the decimal 2.4 as a fraction in its simplest form is 12/5.