Converting 11.209 to a Fraction
Step-by-step explanation of how to convert 11.209 to a fraction

Result

11.209 =
11209
1000
Mixed number:
11
209
1000

Step 1: Identify the number of decimal places

The decimal 11.209 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.209 × 1000 = 11209

Step 3: Write as a fraction

11.209 =

11209
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11209 and 1000.

GCD(11209, 1000) = 1

Divide both the numerator and denominator by the GCD:

11209
1000

=

11209 ÷ 1
1000 ÷ 1

=

11209
1000
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