Converting 0.205755 to a Fraction
Step-by-step explanation of how to convert 0.205755 to a fraction

Result

0.205755 =
41151
200000

Step 1: Identify the number of decimal places

The decimal 0.205755 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.205755 × 1000000 = 205755

Step 3: Write as a fraction

0.205755 =

205755
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 205755 and 1000000.

GCD(205755, 1000000) = 5

Divide both the numerator and denominator by the GCD:

205755
1000000

=

205755 ÷ 5
1000000 ÷ 5

=

41151
200000
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