Converting 21.2112 to a Fraction
Step-by-step explanation of how to convert 21.2112 to a fraction

Result

21.2112 =
13257
625
Mixed number:
21
132
625

Step 1: Identify the number of decimal places

The decimal 21.2112 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.2112 × 10000 = 212112

Step 3: Write as a fraction

21.2112 =

212112
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 212112 and 10000.

GCD(212112, 10000) = 16

Divide both the numerator and denominator by the GCD:

212112
10000

=

212112 ÷ 16
10000 ÷ 16

=

13257
625
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