Converting 82.21904 to a Fraction
Step-by-step explanation of how to convert 82.21904 to a fraction
Result
82.21904 =
513869
6250
Mixed number:
82
1369
6250
Step 1: Identify the number of decimal places
The decimal 82.21904 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
82.21904 × 100000 = 8221904
Step 3: Write as a fraction
82.21904 =
8221904
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8221904 and 100000.
GCD(8221904, 100000) = 16
Divide both the numerator and denominator by the GCD:
8221904
100000
=
8221904 ÷ 16
100000 ÷ 16
=
513869
6250
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