Converting 0.589424 to a Fraction
Step-by-step explanation of how to convert 0.589424 to a fraction

Result

0.589424 =
36839
62500

Step 1: Identify the number of decimal places

The decimal 0.589424 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.589424 × 1000000 = 589424

Step 3: Write as a fraction

0.589424 =

589424
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 589424 and 1000000.

GCD(589424, 1000000) = 16

Divide both the numerator and denominator by the GCD:

589424
1000000

=

589424 ÷ 16
1000000 ÷ 16

=

36839
62500
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