Converting 39.5204 to a Fraction
Step-by-step explanation of how to convert 39.5204 to a fraction

Result

39.5204 =
98801
2500
Mixed number:
39
1301
2500

Step 1: Identify the number of decimal places

The decimal 39.5204 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

39.5204 × 10000 = 395204

Step 3: Write as a fraction

39.5204 =

395204
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 395204 and 10000.

GCD(395204, 10000) = 4

Divide both the numerator and denominator by the GCD:

395204
10000

=

395204 ÷ 4
10000 ÷ 4

=

98801
2500
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