Converting 20.565 to a Fraction
Step-by-step explanation of how to convert 20.565 to a fraction
Result
20.565 =
4113
200
Mixed number:
20
113
200
Step 1: Identify the number of decimal places
The decimal 20.565 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
20.565 × 1000 = 20565
Step 3: Write as a fraction
20.565 =
20565
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20565 and 1000.
GCD(20565, 1000) = 5
Divide both the numerator and denominator by the GCD:
20565
1000
=
20565 ÷ 5
1000 ÷ 5
=
4113
200
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