Converting 82.4944 to a Fraction
Step-by-step explanation of how to convert 82.4944 to a fraction

Result

82.4944 =
51559
625
Mixed number:
82
309
625

Step 1: Identify the number of decimal places

The decimal 82.4944 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

82.4944 × 10000 = 824944

Step 3: Write as a fraction

82.4944 =

824944
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 824944 and 10000.

GCD(824944, 10000) = 16

Divide both the numerator and denominator by the GCD:

824944
10000

=

824944 ÷ 16
10000 ÷ 16

=

51559
625
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