Converting 0.2055 to a Fraction
Step-by-step explanation of how to convert 0.2055 to a fraction

Result

0.2055 =
411
2000

Step 1: Identify the number of decimal places

The decimal 0.2055 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.2055 × 10000 = 2055

Step 3: Write as a fraction

0.2055 =

2055
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2055 and 10000.

GCD(2055, 10000) = 5

Divide both the numerator and denominator by the GCD:

2055
10000

=

2055 ÷ 5
10000 ÷ 5

=

411
2000
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