Converting 21.7664 to a Fraction
Step-by-step explanation of how to convert 21.7664 to a fraction

Result

21.7664 =
13604
625
Mixed number:
21
479
625

Step 1: Identify the number of decimal places

The decimal 21.7664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.7664 × 10000 = 217664

Step 3: Write as a fraction

21.7664 =

217664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 217664 and 10000.

GCD(217664, 10000) = 16

Divide both the numerator and denominator by the GCD:

217664
10000

=

217664 ÷ 16
10000 ÷ 16

=

13604
625
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