Converting 82.2624 to a Fraction
Step-by-step explanation of how to convert 82.2624 to a fraction

Result

82.2624 =
51414
625
Mixed number:
82
164
625

Step 1: Identify the number of decimal places

The decimal 82.2624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

82.2624 × 10000 = 822624

Step 3: Write as a fraction

82.2624 =

822624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 822624 and 10000.

GCD(822624, 10000) = 16

Divide both the numerator and denominator by the GCD:

822624
10000

=

822624 ÷ 16
10000 ÷ 16

=

51414
625
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