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

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

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

• Step 1: Convert $\frac{4}{200}$ 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 $\frac{4}{200}$.
We can simplify this fraction by dividing both the numerator and the denominator by 2:
$\frac{4}{200} = \frac{4 \div 2}{200 \div 2} = \frac{2}{100}$

Step 2: Convert $\frac{2}{100}$ to a decimal.
The fraction $\frac{2}{100}$ translates directly to the decimal $0.02$ because it represents 2 parts out of 100.

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

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