Solve Mixed Number Equation: Converting 2 4/200 to Decimal Form

Question

24200= 2\frac{4}{200}=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert 4200\frac{4}{200} to a fraction with a denominator of 100.
  • Step 2: Convert the resulting fraction to a decimal.
  • Step 3: Add the integer part 2 to the decimal.

Now, let's work through each step:

Step 1: Simplifying 4200\frac{4}{200}.
We can simplify this fraction by dividing both the numerator and the denominator by 2:
4200=4÷2200÷2=2100 \frac{4}{200} = \frac{4 \div 2}{200 \div 2} = \frac{2}{100}

Step 2: Convert 2100\frac{2}{100} to a decimal.
The fraction 2100\frac{2}{100} translates directly to the decimal 0.020.02 because it represents 2 parts out of 100.

Step 3: Add the decimal to the integer part.
2+0.02=2.02 2 + 0.02 = 2.02

Therefore, the solution to the problem is 2.02\mathbf{2.02}.

Answer

2.02 2.02