Converting 39.8404 to a Fraction
Step-by-step explanation of how to convert 39.8404 to a fraction

Result

39.8404 =
99601
2500
Mixed number:
39
2101
2500

Step 1: Identify the number of decimal places

The decimal 39.8404 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

39.8404 × 10000 = 398404

Step 3: Write as a fraction

39.8404 =

398404
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 398404 and 10000.

GCD(398404, 10000) = 4

Divide both the numerator and denominator by the GCD:

398404
10000

=

398404 ÷ 4
10000 ÷ 4

=

99601
2500
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