Converting 5.6896 to a Fraction
Step-by-step explanation of how to convert 5.6896 to a fraction

Result

5.6896 =
3556
625
Mixed number:
5
431
625

Step 1: Identify the number of decimal places

The decimal 5.6896 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.6896 × 10000 = 56896

Step 3: Write as a fraction

5.6896 =

56896
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 56896 and 10000.

GCD(56896, 10000) = 16

Divide both the numerator and denominator by the GCD:

56896
10000

=

56896 ÷ 16
10000 ÷ 16

=

3556
625
Related Conversions
Other decimal to fraction conversions you might find useful