Converting 5.1264 to a Fraction
Step-by-step explanation of how to convert 5.1264 to a fraction

Result

5.1264 =
3204
625
Mixed number:
5
79
625

Step 1: Identify the number of decimal places

The decimal 5.1264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1264 × 10000 = 51264

Step 3: Write as a fraction

5.1264 =

51264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51264 and 10000.

GCD(51264, 10000) = 16

Divide both the numerator and denominator by the GCD:

51264
10000

=

51264 ÷ 16
10000 ÷ 16

=

3204
625
Related Conversions
Other decimal to fraction conversions you might find useful