Converting 20.255 to a Fraction
Step-by-step explanation of how to convert 20.255 to a fraction
Result
20.255 =
4051
200
Mixed number:
20
51
200
Step 1: Identify the number of decimal places
The decimal 20.255 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
20.255 × 1000 = 20255
Step 3: Write as a fraction
20.255 =
20255
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20255 and 1000.
GCD(20255, 1000) = 5
Divide both the numerator and denominator by the GCD:
20255
1000
=
20255 ÷ 5
1000 ÷ 5
=
4051
200
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