Converting 82.8096 to a Fraction
Step-by-step explanation of how to convert 82.8096 to a fraction
Result
82.8096 =
51756
625
Mixed number:
82
506
625
Step 1: Identify the number of decimal places
The decimal 82.8096 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
82.8096 × 10000 = 828096
Step 3: Write as a fraction
82.8096 =
828096
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 828096 and 10000.
GCD(828096, 10000) = 16
Divide both the numerator and denominator by the GCD:
828096
10000
=
828096 ÷ 16
10000 ÷ 16
=
51756
625
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