Converting 21.564 to a Fraction
Step-by-step explanation of how to convert 21.564 to a fraction

Result

21.564 =
5391
250
Mixed number:
21
141
250

Step 1: Identify the number of decimal places

The decimal 21.564 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.564 × 1000 = 21564

Step 3: Write as a fraction

21.564 =

21564
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21564 and 1000.

GCD(21564, 1000) = 4

Divide both the numerator and denominator by the GCD:

21564
1000

=

21564 ÷ 4
1000 ÷ 4

=

5391
250
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