Converting 0.509212 to a Fraction
Step-by-step explanation of how to convert 0.509212 to a fraction

Result

0.509212 =
127303
250000

Step 1: Identify the number of decimal places

The decimal 0.509212 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.509212 × 1000000 = 509212

Step 3: Write as a fraction

0.509212 =

509212
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 509212 and 1000000.

GCD(509212, 1000000) = 4

Divide both the numerator and denominator by the GCD:

509212
1000000

=

509212 ÷ 4
1000000 ÷ 4

=

127303
250000
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