Converting 82.128 to a Fraction
Step-by-step explanation of how to convert 82.128 to a fraction

Result

82.128 =
10266
125
Mixed number:
82
16
125

Step 1: Identify the number of decimal places

The decimal 82.128 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

82.128 × 1000 = 82128

Step 3: Write as a fraction

82.128 =

82128
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82128 and 1000.

GCD(82128, 1000) = 8

Divide both the numerator and denominator by the GCD:

82128
1000

=

82128 ÷ 8
1000 ÷ 8

=

10266
125
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