Converting 12.538 to a Fraction
Step-by-step explanation of how to convert 12.538 to a fraction

Result

12.538 =
6269
500
Mixed number:
12
269
500

Step 1: Identify the number of decimal places

The decimal 12.538 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.538 × 1000 = 12538

Step 3: Write as a fraction

12.538 =

12538
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12538 and 1000.

GCD(12538, 1000) = 2

Divide both the numerator and denominator by the GCD:

12538
1000

=

12538 ÷ 2
1000 ÷ 2

=

6269
500
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