Converting 11.1806 to a Fraction
Step-by-step explanation of how to convert 11.1806 to a fraction

Result

11.1806 =
55903
5000
Mixed number:
11
903
5000

Step 1: Identify the number of decimal places

The decimal 11.1806 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.1806 × 10000 = 111806

Step 3: Write as a fraction

11.1806 =

111806
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 111806 and 10000.

GCD(111806, 10000) = 2

Divide both the numerator and denominator by the GCD:

111806
10000

=

111806 ÷ 2
10000 ÷ 2

=

55903
5000
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