Converting 39.9584 to a Fraction
Step-by-step explanation of how to convert 39.9584 to a fraction
Result
39.9584 =
24974
625
Mixed number:
39
599
625
Step 1: Identify the number of decimal places
The decimal 39.9584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
39.9584 × 10000 = 399584
Step 3: Write as a fraction
39.9584 =
399584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 399584 and 10000.
GCD(399584, 10000) = 16
Divide both the numerator and denominator by the GCD:
399584
10000
=
399584 ÷ 16
10000 ÷ 16
=
24974
625
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