Converting 12.725 to a Fraction
Step-by-step explanation of how to convert 12.725 to a fraction

Result

12.725 =
509
40
Mixed number:
12
29
40

Step 1: Identify the number of decimal places

The decimal 12.725 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.725 × 1000 = 12725

Step 3: Write as a fraction

12.725 =

12725
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12725 and 1000.

GCD(12725, 1000) = 25

Divide both the numerator and denominator by the GCD:

12725
1000

=

12725 ÷ 25
1000 ÷ 25

=

509
40
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