Converting 20.5782 to a Fraction
Step-by-step explanation of how to convert 20.5782 to a fraction

Result

20.5782 =
102891
5000
Mixed number:
20
2891
5000

Step 1: Identify the number of decimal places

The decimal 20.5782 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.5782 × 10000 = 205782

Step 3: Write as a fraction

20.5782 =

205782
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 205782 and 10000.

GCD(205782, 10000) = 2

Divide both the numerator and denominator by the GCD:

205782
10000

=

205782 ÷ 2
10000 ÷ 2

=

102891
5000
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