Converting 2.205 to a Fraction
Step-by-step explanation of how to convert 2.205 to a fraction

Result

2.205 =
441
200
Mixed number:
2
41
200

Step 1: Identify the number of decimal places

The decimal 2.205 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.205 × 1000 = 2205

Step 3: Write as a fraction

2.205 =

2205
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2205 and 1000.

GCD(2205, 1000) = 5

Divide both the numerator and denominator by the GCD:

2205
1000

=

2205 ÷ 5
1000 ÷ 5

=

441
200
Related Conversions
Other decimal to fraction conversions you might find useful