Convert the Fraction: Simplifying 4/200 to Its Simplest Form

To solve this problem, we will convert the fraction $\frac{4}{200}$ into a decimal:

• Step 1: Simplify the fraction if possible. Notice that both the numerator and the denominator can be divided by 4:
  $\frac{4}{200} = \frac{4 \div 4}{200 \div 4} = \frac{1}{50}$.
• Step 2: Convert $\frac{1}{50}$ directly to a decimal by division:
  Since $\frac{1}{50} = 0.02$ (as $50$ goes into $100$ twice, making $0.02$ the decimal form).
• Step 3: Alternatively, adjust the denominator to 100: Internally, $\frac{1}{50} = \frac{2}{100}$ because multiplying both numerator and denominator by 2 results in a $\frac{2}{100}$, which is clearly $0.02$.

Therefore, the decimal representation of $\frac{4}{200}$ is $0.02$.