Converting 12.235 to a Fraction
Step-by-step explanation of how to convert 12.235 to a fraction

Result

12.235 =
2447
200
Mixed number:
12
47
200

Step 1: Identify the number of decimal places

The decimal 12.235 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.235 × 1000 = 12235

Step 3: Write as a fraction

12.235 =

12235
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12235 and 1000.

GCD(12235, 1000) = 5

Divide both the numerator and denominator by the GCD:

12235
1000

=

12235 ÷ 5
1000 ÷ 5

=

2447
200
Related Conversions
Other decimal to fraction conversions you might find useful