Converting 12.382 to a Fraction
Step-by-step explanation of how to convert 12.382 to a fraction

Result

12.382 =
6191
500
Mixed number:
12
191
500

Step 1: Identify the number of decimal places

The decimal 12.382 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.382 × 1000 = 12382

Step 3: Write as a fraction

12.382 =

12382
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12382 and 1000.

GCD(12382, 1000) = 2

Divide both the numerator and denominator by the GCD:

12382
1000

=

12382 ÷ 2
1000 ÷ 2

=

6191
500
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