Converting 21.686 to a Fraction
Step-by-step explanation of how to convert 21.686 to a fraction

Result

21.686 =
10843
500
Mixed number:
21
343
500

Step 1: Identify the number of decimal places

The decimal 21.686 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.686 × 1000 = 21686

Step 3: Write as a fraction

21.686 =

21686
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21686 and 1000.

GCD(21686, 1000) = 2

Divide both the numerator and denominator by the GCD:

21686
1000

=

21686 ÷ 2
1000 ÷ 2

=

10843
500
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