Converting 82.8192 to a Fraction
Step-by-step explanation of how to convert 82.8192 to a fraction
Result
82.8192 =
51762
625
Mixed number:
82
512
625
Step 1: Identify the number of decimal places
The decimal 82.8192 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
82.8192 × 10000 = 828192
Step 3: Write as a fraction
82.8192 =
828192
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 828192 and 10000.
GCD(828192, 10000) = 16
Divide both the numerator and denominator by the GCD:
828192
10000
=
828192 ÷ 16
10000 ÷ 16
=
51762
625
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