Converting the Fraction 11/200 to Decimal Form: Step-by-Step Solution

To solve the problem of converting $\frac{11}{200}$ into a decimal, we will scale the fraction so the denominator becomes 1000, which facilitates easier conversion to a decimal number.

First, observe that:

• The given fraction is $\frac{11}{200}$.
• We want the denominator to be a power of 10, such as 1000.
• To do this, multiply both the numerator and the denominator by 5:

$\frac{11 \times 5}{200 \times 5} = \frac{55}{1000}$

Having the fraction $\frac{55}{1000}$, it is straightforward to convert it to a decimal by placing the decimal point three places from the right in the numerator, because 1000 has three zeros.

This results in the decimal number:

$0.055$

Therefore, the decimal representation of $\frac{11}{200}$ is 0.055.