Converting 21.322 to a Fraction
Step-by-step explanation of how to convert 21.322 to a fraction

Result

21.322 =
10661
500
Mixed number:
21
161
500

Step 1: Identify the number of decimal places

The decimal 21.322 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.322 × 1000 = 21322

Step 3: Write as a fraction

21.322 =

21322
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21322 and 1000.

GCD(21322, 1000) = 2

Divide both the numerator and denominator by the GCD:

21322
1000

=

21322 ÷ 2
1000 ÷ 2

=

10661
500
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