Converting 8.20228 to a Fraction
Step-by-step explanation of how to convert 8.20228 to a fraction
Result
8.20228 =
205057
25000
Mixed number:
8
5057
25000
Step 1: Identify the number of decimal places
The decimal 8.20228 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
8.20228 × 100000 = 820228
Step 3: Write as a fraction
8.20228 =
820228
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 820228 and 100000.
GCD(820228, 100000) = 4
Divide both the numerator and denominator by the GCD:
820228
100000
=
820228 ÷ 4
100000 ÷ 4
=
205057
25000
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