Converting 12.412 to a Fraction
Step-by-step explanation of how to convert 12.412 to a fraction

Result

12.412 =
3103
250
Mixed number:
12
103
250

Step 1: Identify the number of decimal places

The decimal 12.412 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.412 × 1000 = 12412

Step 3: Write as a fraction

12.412 =

12412
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12412 and 1000.

GCD(12412, 1000) = 4

Divide both the numerator and denominator by the GCD:

12412
1000

=

12412 ÷ 4
1000 ÷ 4

=

3103
250
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