Converting 12.59872 to a Fraction
Step-by-step explanation of how to convert 12.59872 to a fraction

Result

12.59872 =
39371
3125
Mixed number:
12
1871
3125

Step 1: Identify the number of decimal places

The decimal 12.59872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

12.59872 × 100000 = 1259872

Step 3: Write as a fraction

12.59872 =

1259872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1259872 and 100000.

GCD(1259872, 100000) = 32

Divide both the numerator and denominator by the GCD:

1259872
100000

=

1259872 ÷ 32
100000 ÷ 32

=

39371
3125
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