Converting 5.205808 to a Fraction
Step-by-step explanation of how to convert 5.205808 to a fraction

Result

5.205808 =
325363
62500
Mixed number:
5
12863
62500

Step 1: Identify the number of decimal places

The decimal 5.205808 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

5.205808 × 1000000 = 5205808

Step 3: Write as a fraction

5.205808 =

5205808
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5205808 and 1000000.

GCD(5205808, 1000000) = 16

Divide both the numerator and denominator by the GCD:

5205808
1000000

=

5205808 ÷ 16
1000000 ÷ 16

=

325363
62500
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