Complete the Decimal Equation: 2.4 = ___

Question

2.4= 2.4=

Video Solution

Step-by-Step Solution

To convert the decimal 2.42.4 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 22 and the decimal part is 0.40.4.
  • Step 2: Convert the decimal part 0.40.4 to a fraction. To do this, recognize that 0.40.4 can be written as 410\frac{4}{10} since there is one digit after the decimal point, which implies the denominator is 1010.
  • Step 3: Simplify the fraction 410\frac{4}{10}. Divide the numerator and the denominator by their greatest common divisor, which is 22. Thus, 410=25\frac{4}{10} = \frac{2}{5}.
  • Step 4: Combine the whole number and the simplified fraction to form the mixed number. The whole number 22 and the fraction 25\frac{2}{5} together give 2252\frac{2}{5}.

Therefore, the decimal 2.42.4 is equivalent to the mixed number 2252\frac{2}{5}.

Answer

225 2\frac{2}{5}