Converting 20.2564 to a Fraction
Step-by-step explanation of how to convert 20.2564 to a fraction
Result
20.2564 =
50641
2500
Mixed number:
20
641
2500
Step 1: Identify the number of decimal places
The decimal 20.2564 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
20.2564 × 10000 = 202564
Step 3: Write as a fraction
20.2564 =
202564
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 202564 and 10000.
GCD(202564, 10000) = 4
Divide both the numerator and denominator by the GCD:
202564
10000
=
202564 ÷ 4
10000 ÷ 4
=
50641
2500
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