Converting 20.664 to a Fraction
Step-by-step explanation of how to convert 20.664 to a fraction

Result

20.664 =
2583
125
Mixed number:
20
83
125

Step 1: Identify the number of decimal places

The decimal 20.664 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

20.664 × 1000 = 20664

Step 3: Write as a fraction

20.664 =

20664
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20664 and 1000.

GCD(20664, 1000) = 8

Divide both the numerator and denominator by the GCD:

20664
1000

=

20664 ÷ 8
1000 ÷ 8

=

2583
125
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