Complete the Decimal Expression: 2.4 = ?

Question

2.4= 2.4=

Video Solution

Step-by-Step Solution

To convert the decimal 2.42.4 into a mixed number, we'll follow these steps:

  • Step 1: Convert the decimal part 0.40.4 into a fraction.
  • Step 2: Simplify the fraction.
  • Step 3: Combine with the whole number.

Let's work through each step:
Step 1: Recognize that 0.40.4 means 410\frac{4}{10} because there is one digit after the decimal point, placing it into tenths.
Step 2: Simplify 410\frac{4}{10} by dividing both the numerator and denominator by their GCD, which is 2. This gives us 25\frac{2}{5}.
Step 3: Combine the whole number 22 with the fraction 25\frac{2}{5} to form the mixed number 2252\frac{2}{5}.

Therefore, the conversion of 2.42.4 to a mixed number is 225 2\frac{2}{5} .

Answer

225 2\frac{2}{5}