Converting 21.636 to a Fraction
Step-by-step explanation of how to convert 21.636 to a fraction

Result

21.636 =
5409
250
Mixed number:
21
159
250

Step 1: Identify the number of decimal places

The decimal 21.636 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.636 × 1000 = 21636

Step 3: Write as a fraction

21.636 =

21636
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21636 and 1000.

GCD(21636, 1000) = 4

Divide both the numerator and denominator by the GCD:

21636
1000

=

21636 ÷ 4
1000 ÷ 4

=

5409
250
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