Converting 20.6404 to a Fraction
Step-by-step explanation of how to convert 20.6404 to a fraction

Result

20.6404 =
51601
2500
Mixed number:
20
1601
2500

Step 1: Identify the number of decimal places

The decimal 20.6404 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.6404 × 10000 = 206404

Step 3: Write as a fraction

20.6404 =

206404
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 206404 and 10000.

GCD(206404, 10000) = 4

Divide both the numerator and denominator by the GCD:

206404
10000

=

206404 ÷ 4
10000 ÷ 4

=

51601
2500
Related Conversions
Other decimal to fraction conversions you might find useful