Converting 2.005 to a Fraction
Step-by-step explanation of how to convert 2.005 to a fraction

Result

2.005 =
401
200
Mixed number:
2
1
200

Step 1: Identify the number of decimal places

The decimal 2.005 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.005 × 1000 = 2005

Step 3: Write as a fraction

2.005 =

2005
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2005 and 1000.

GCD(2005, 1000) = 5

Divide both the numerator and denominator by the GCD:

2005
1000

=

2005 ÷ 5
1000 ÷ 5

=

401
200
Related Conversions
Other decimal to fraction conversions you might find useful