Converting 21.8208 to a Fraction
Step-by-step explanation of how to convert 21.8208 to a fraction
Result
21.8208 =
13638
625
Mixed number:
21
513
625
Step 1: Identify the number of decimal places
The decimal 21.8208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.8208 × 10000 = 218208
Step 3: Write as a fraction
21.8208 =
218208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 218208 and 10000.
GCD(218208, 10000) = 16
Divide both the numerator and denominator by the GCD:
218208
10000
=
218208 ÷ 16
10000 ÷ 16
=
13638
625
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