Converting 82.36256 to a Fraction
Step-by-step explanation of how to convert 82.36256 to a fraction
Result
82.36256 =
257383
3125
Mixed number:
82
1133
3125
Step 1: Identify the number of decimal places
The decimal 82.36256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
82.36256 × 100000 = 8236256
Step 3: Write as a fraction
82.36256 =
8236256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8236256 and 100000.
GCD(8236256, 100000) = 32
Divide both the numerator and denominator by the GCD:
8236256
100000
=
8236256 ÷ 32
100000 ÷ 32
=
257383
3125
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