Converting 82.0624 to a Fraction
Step-by-step explanation of how to convert 82.0624 to a fraction

Result

82.0624 =
51289
625
Mixed number:
82
39
625

Step 1: Identify the number of decimal places

The decimal 82.0624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

82.0624 × 10000 = 820624

Step 3: Write as a fraction

82.0624 =

820624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 820624 and 10000.

GCD(820624, 10000) = 16

Divide both the numerator and denominator by the GCD:

820624
10000

=

820624 ÷ 16
10000 ÷ 16

=

51289
625
Related Conversions
Other decimal to fraction conversions you might find useful