Converting 21.122 to a Fraction
Step-by-step explanation of how to convert 21.122 to a fraction

Result

21.122 =
10561
500
Mixed number:
21
61
500

Step 1: Identify the number of decimal places

The decimal 21.122 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.122 × 1000 = 21122

Step 3: Write as a fraction

21.122 =

21122
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21122 and 1000.

GCD(21122, 1000) = 2

Divide both the numerator and denominator by the GCD:

21122
1000

=

21122 ÷ 2
1000 ÷ 2

=

10561
500
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