Converting 82.75808 to a Fraction
Step-by-step explanation of how to convert 82.75808 to a fraction
Result
82.75808 =
258619
3125
Mixed number:
82
2369
3125
Step 1: Identify the number of decimal places
The decimal 82.75808 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
82.75808 × 100000 = 8275808
Step 3: Write as a fraction
82.75808 =
8275808
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8275808 and 100000.
GCD(8275808, 100000) = 32
Divide both the numerator and denominator by the GCD:
8275808
100000
=
8275808 ÷ 32
100000 ÷ 32
=
258619
3125
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