Converting 21.1814 to a Fraction
Step-by-step explanation of how to convert 21.1814 to a fraction

Result

21.1814 =
105907
5000
Mixed number:
21
907
5000

Step 1: Identify the number of decimal places

The decimal 21.1814 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.1814 × 10000 = 211814

Step 3: Write as a fraction

21.1814 =

211814
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 211814 and 10000.

GCD(211814, 10000) = 2

Divide both the numerator and denominator by the GCD:

211814
10000

=

211814 ÷ 2
10000 ÷ 2

=

105907
5000
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