Converting 82.16256 to a Fraction
Step-by-step explanation of how to convert 82.16256 to a fraction
Result
82.16256 =
256758
3125
Mixed number:
82
508
3125
Step 1: Identify the number of decimal places
The decimal 82.16256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
82.16256 × 100000 = 8216256
Step 3: Write as a fraction
82.16256 =
8216256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8216256 and 100000.
GCD(8216256, 100000) = 32
Divide both the numerator and denominator by the GCD:
8216256
100000
=
8216256 ÷ 32
100000 ÷ 32
=
256758
3125
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