Converting 5.1256 to a Fraction
Step-by-step explanation of how to convert 5.1256 to a fraction

Result

5.1256 =
6407
1250
Mixed number:
5
157
1250

Step 1: Identify the number of decimal places

The decimal 5.1256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1256 × 10000 = 51256

Step 3: Write as a fraction

5.1256 =

51256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51256 and 10000.

GCD(51256, 10000) = 8

Divide both the numerator and denominator by the GCD:

51256
10000

=

51256 ÷ 8
10000 ÷ 8

=

6407
1250
Related Conversions
Other decimal to fraction conversions you might find useful