Converting 0.509712 to a Fraction
Step-by-step explanation of how to convert 0.509712 to a fraction
Result
0.509712 =
31857
62500
Step 1: Identify the number of decimal places
The decimal 0.509712 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.509712 × 1000000 = 509712
Step 3: Write as a fraction
0.509712 =
509712
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 509712 and 1000000.
GCD(509712, 1000000) = 16
Divide both the numerator and denominator by the GCD:
509712
1000000
=
509712 ÷ 16
1000000 ÷ 16
=
31857
62500
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