Converting 82.2344 to a Fraction
Step-by-step explanation of how to convert 82.2344 to a fraction

Result

82.2344 =
102793
1250
Mixed number:
82
293
1250

Step 1: Identify the number of decimal places

The decimal 82.2344 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

82.2344 × 10000 = 822344

Step 3: Write as a fraction

82.2344 =

822344
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 822344 and 10000.

GCD(822344, 10000) = 8

Divide both the numerator and denominator by the GCD:

822344
10000

=

822344 ÷ 8
10000 ÷ 8

=

102793
1250
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