Converting 82.5632 to a Fraction
Step-by-step explanation of how to convert 82.5632 to a fraction
Result
82.5632 =
51602
625
Mixed number:
82
352
625
Step 1: Identify the number of decimal places
The decimal 82.5632 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
82.5632 × 10000 = 825632
Step 3: Write as a fraction
82.5632 =
825632
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 825632 and 10000.
GCD(825632, 10000) = 16
Divide both the numerator and denominator by the GCD:
825632
10000
=
825632 ÷ 16
10000 ÷ 16
=
51602
625
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