Converting 0.509064 to a Fraction
Step-by-step explanation of how to convert 0.509064 to a fraction

Result

0.509064 =
63633
125000

Step 1: Identify the number of decimal places

The decimal 0.509064 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.509064 × 1000000 = 509064

Step 3: Write as a fraction

0.509064 =

509064
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 509064 and 1000000.

GCD(509064, 1000000) = 8

Divide both the numerator and denominator by the GCD:

509064
1000000

=

509064 ÷ 8
1000000 ÷ 8

=

63633
125000
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