Converting 21.2944 to a Fraction
Step-by-step explanation of how to convert 21.2944 to a fraction

Result

21.2944 =
13309
625
Mixed number:
21
184
625

Step 1: Identify the number of decimal places

The decimal 21.2944 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.2944 × 10000 = 212944

Step 3: Write as a fraction

21.2944 =

212944
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 212944 and 10000.

GCD(212944, 10000) = 16

Divide both the numerator and denominator by the GCD:

212944
10000

=

212944 ÷ 16
10000 ÷ 16

=

13309
625
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