Converting 82.807424 to a Fraction
Step-by-step explanation of how to convert 82.807424 to a fraction

Result

82.807424 =
1293866
15625
Mixed number:
82
12616
15625

Step 1: Identify the number of decimal places

The decimal 82.807424 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

82.807424 × 1000000 = 82807424

Step 3: Write as a fraction

82.807424 =

82807424
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82807424 and 1000000.

GCD(82807424, 1000000) = 64

Divide both the numerator and denominator by the GCD:

82807424
1000000

=

82807424 ÷ 64
1000000 ÷ 64

=

1293866
15625
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