Converting 12.5772 to a Fraction
Step-by-step explanation of how to convert 12.5772 to a fraction

Result

12.5772 =
31443
2500
Mixed number:
12
1443
2500

Step 1: Identify the number of decimal places

The decimal 12.5772 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.5772 × 10000 = 125772

Step 3: Write as a fraction

12.5772 =

125772
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 125772 and 10000.

GCD(125772, 10000) = 4

Divide both the numerator and denominator by the GCD:

125772
10000

=

125772 ÷ 4
10000 ÷ 4

=

31443
2500
Related Conversions
Other decimal to fraction conversions you might find useful