Converting 49.6404 to a Fraction
Step-by-step explanation of how to convert 49.6404 to a fraction

Result

49.6404 =
124101
2500
Mixed number:
49
1601
2500

Step 1: Identify the number of decimal places

The decimal 49.6404 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.6404 × 10000 = 496404

Step 3: Write as a fraction

49.6404 =

496404
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 496404 and 10000.

GCD(496404, 10000) = 4

Divide both the numerator and denominator by the GCD:

496404
10000

=

496404 ÷ 4
10000 ÷ 4

=

124101
2500
Related Conversions
Other decimal to fraction conversions you might find useful