Converting 12.205 to a Fraction
Step-by-step explanation of how to convert 12.205 to a fraction
Result
12.205 =
2441
200
Mixed number:
12
41
200
Step 1: Identify the number of decimal places
The decimal 12.205 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.205 × 1000 = 12205
Step 3: Write as a fraction
12.205 =
12205
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12205 and 1000.
GCD(12205, 1000) = 5
Divide both the numerator and denominator by the GCD:
12205
1000
=
12205 ÷ 5
1000 ÷ 5
=
2441
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions