Converting 5.13678 to a Fraction
Step-by-step explanation of how to convert 5.13678 to a fraction

Result

5.13678 =
256839
50000
Mixed number:
5
6839
50000

Step 1: Identify the number of decimal places

The decimal 5.13678 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.13678 × 100000 = 513678

Step 3: Write as a fraction

5.13678 =

513678
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 513678 and 100000.

GCD(513678, 100000) = 2

Divide both the numerator and denominator by the GCD:

513678
100000

=

513678 ÷ 2
100000 ÷ 2

=

256839
50000
Related Conversions
Other decimal to fraction conversions you might find useful