Converting 0.509728 to a Fraction
Step-by-step explanation of how to convert 0.509728 to a fraction

Result

0.509728 =
15929
31250

Step 1: Identify the number of decimal places

The decimal 0.509728 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.509728 × 1000000 = 509728

Step 3: Write as a fraction

0.509728 =

509728
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 509728 and 1000000.

GCD(509728, 1000000) = 32

Divide both the numerator and denominator by the GCD:

509728
1000000

=

509728 ÷ 32
1000000 ÷ 32

=

15929
31250
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