Converting 0.511152 to a Fraction
Step-by-step explanation of how to convert 0.511152 to a fraction

Result

0.511152 =
31947
62500

Step 1: Identify the number of decimal places

The decimal 0.511152 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.511152 × 1000000 = 511152

Step 3: Write as a fraction

0.511152 =

511152
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 511152 and 1000000.

GCD(511152, 1000000) = 16

Divide both the numerator and denominator by the GCD:

511152
1000000

=

511152 ÷ 16
1000000 ÷ 16

=

31947
62500
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