Converting 0.309064 to a Fraction
Step-by-step explanation of how to convert 0.309064 to a fraction

Result

0.309064 =
38633
125000

Step 1: Identify the number of decimal places

The decimal 0.309064 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.309064 × 1000000 = 309064

Step 3: Write as a fraction

0.309064 =

309064
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 309064 and 1000000.

GCD(309064, 1000000) = 8

Divide both the numerator and denominator by the GCD:

309064
1000000

=

309064 ÷ 8
1000000 ÷ 8

=

38633
125000
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