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 1000505. 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 1000505, we divide both the numerator and the denominator by 5:
1000÷5505÷5=200101
- Step 4: The fraction 200101 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 1000505, which simplifies to 200101.
Given the multiple-choice options, the correct answer based on the problem's form is:
1000505
1000505