Converting 20.2198 to a Fraction
Step-by-step explanation of how to convert 20.2198 to a fraction

Result

20.2198 =
101099
5000
Mixed number:
20
1099
5000

Step 1: Identify the number of decimal places

The decimal 20.2198 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.2198 × 10000 = 202198

Step 3: Write as a fraction

20.2198 =

202198
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 202198 and 10000.

GCD(202198, 10000) = 2

Divide both the numerator and denominator by the GCD:

202198
10000

=

202198 ÷ 2
10000 ÷ 2

=

101099
5000
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