Converting 81.428 to a Fraction
Step-by-step explanation of how to convert 81.428 to a fraction

Result

81.428 =
20357
250
Mixed number:
81
107
250

Step 1: Identify the number of decimal places

The decimal 81.428 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

81.428 × 1000 = 81428

Step 3: Write as a fraction

81.428 =

81428
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81428 and 1000.

GCD(81428, 1000) = 4

Divide both the numerator and denominator by the GCD:

81428
1000

=

81428 ÷ 4
1000 ÷ 4

=

20357
250
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