Converting 11.229 to a Fraction
Step-by-step explanation of how to convert 11.229 to a fraction

Result

11.229 =
11229
1000
Mixed number:
11
229
1000

Step 1: Identify the number of decimal places

The decimal 11.229 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.229 × 1000 = 11229

Step 3: Write as a fraction

11.229 =

11229
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11229 and 1000.

GCD(11229, 1000) = 1

Divide both the numerator and denominator by the GCD:

11229
1000

=

11229 ÷ 1
1000 ÷ 1

=

11229
1000
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