Converting 82.12864 to a Fraction
Step-by-step explanation of how to convert 82.12864 to a fraction

Result

82.12864 =
256652
3125
Mixed number:
82
402
3125

Step 1: Identify the number of decimal places

The decimal 82.12864 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

82.12864 × 100000 = 8212864

Step 3: Write as a fraction

82.12864 =

8212864
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8212864 and 100000.

GCD(8212864, 100000) = 32

Divide both the numerator and denominator by the GCD:

8212864
100000

=

8212864 ÷ 32
100000 ÷ 32

=

256652
3125
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