To convert the decimal 2.4 to a mixed number, we need to follow these steps:
- Step 1: Identify the whole number part and the decimal part. Here, the whole number is 2 and the decimal part is 0.4.
- Step 2: Convert the decimal part 0.4 to a fraction. To do this, recognize that 0.4 can be written as 104 since there is one digit after the decimal point, which implies the denominator is 10.
- Step 3: Simplify the fraction 104. Divide the numerator and the denominator by their greatest common divisor, which is 2. Thus, 104=52.
- Step 4: Combine the whole number and the simplified fraction to form the mixed number. The whole number 2 and the fraction 52 together give 252.
Therefore, the decimal 2.4 is equivalent to the mixed number 252.