Converting 0.509625 to a Fraction
Step-by-step explanation of how to convert 0.509625 to a fraction
Result
0.509625 =
4077
8000
Step 1: Identify the number of decimal places
The decimal 0.509625 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.509625 × 1000000 = 509625
Step 3: Write as a fraction
0.509625 =
509625
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 509625 and 1000000.
GCD(509625, 1000000) = 125
Divide both the numerator and denominator by the GCD:
509625
1000000
=
509625 ÷ 125
1000000 ÷ 125
=
4077
8000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions