Converting 11.306 to a Fraction
Step-by-step explanation of how to convert 11.306 to a fraction

Result

11.306 =
5653
500
Mixed number:
11
153
500

Step 1: Identify the number of decimal places

The decimal 11.306 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.306 × 1000 = 11306

Step 3: Write as a fraction

11.306 =

11306
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11306 and 1000.

GCD(11306, 1000) = 2

Divide both the numerator and denominator by the GCD:

11306
1000

=

11306 ÷ 2
1000 ÷ 2

=

5653
500
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