Converting 8.205664 to a Fraction
Step-by-step explanation of how to convert 8.205664 to a fraction
Result
8.205664 =
256427
31250
Mixed number:
8
6427
31250
Step 1: Identify the number of decimal places
The decimal 8.205664 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
8.205664 × 1000000 = 8205664
Step 3: Write as a fraction
8.205664 =
8205664
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8205664 and 1000000.
GCD(8205664, 1000000) = 32
Divide both the numerator and denominator by the GCD:
8205664
1000000
=
8205664 ÷ 32
1000000 ÷ 32
=
256427
31250
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