Converting 82.578624 to a Fraction
Step-by-step explanation of how to convert 82.578624 to a fraction
Result
82.578624 =
1290291
15625
Mixed number:
82
9041
15625
Step 1: Identify the number of decimal places
The decimal 82.578624 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
82.578624 × 1000000 = 82578624
Step 3: Write as a fraction
82.578624 =
82578624
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 82578624 and 1000000.
GCD(82578624, 1000000) = 64
Divide both the numerator and denominator by the GCD:
82578624
1000000
=
82578624 ÷ 64
1000000 ÷ 64
=
1290291
15625
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