Converting 20.205 to a Fraction
Step-by-step explanation of how to convert 20.205 to a fraction
Result
20.205 =
4041
200
Mixed number:
20
41
200
Step 1: Identify the number of decimal places
The decimal 20.205 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
20.205 × 1000 = 20205
Step 3: Write as a fraction
20.205 =
20205
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20205 and 1000.
GCD(20205, 1000) = 5
Divide both the numerator and denominator by the GCD:
20205
1000
=
20205 ÷ 5
1000 ÷ 5
=
4041
200
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