Convert Decimal 0.505 to Simplified Fraction Form

Convert 0.505 into a fraction.

To convert the decimal 0.505 into a fraction, follow these steps:

• Step 1: Recognize that the decimal 0.505 can be expressed as $\frac{505}{1000}$. This is because there are three digits after the decimal point, so we use 1000 as the denominator.
• Step 2: Check if the fraction can be simplified. The greatest common divisor (GCD) of 505 and 1000 is 5. Therefore, we divide both the numerator and the denominator by their GCD to simplify the fraction.
• Step 3: Simplifying $\frac{505}{1000}$, we divide both the numerator and the denominator by 5:
  $\frac{505 \div 5}{1000 \div 5} = \frac{101}{200}$
• Step 4: The fraction $\frac{101}{200}$ is in its simplest form, as 101 is a prime number, and no further simplification is possible.

Therefore, the decimal 0.505 is equal to the fraction $\frac{505}{1000}$, which simplifies to $\frac{101}{200}$.

Given the multiple-choice options, the correct answer based on the problem's form is:

$\frac{505}{1000}$