Converting 21.836 to a Fraction
Step-by-step explanation of how to convert 21.836 to a fraction

Result

21.836 =
5459
250
Mixed number:
21
209
250

Step 1: Identify the number of decimal places

The decimal 21.836 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.836 × 1000 = 21836

Step 3: Write as a fraction

21.836 =

21836
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21836 and 1000.

GCD(21836, 1000) = 4

Divide both the numerator and denominator by the GCD:

21836
1000

=

21836 ÷ 4
1000 ÷ 4

=

5459
250
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