Converting 12.2286 to a Fraction
Step-by-step explanation of how to convert 12.2286 to a fraction

Result

12.2286 =
61143
5000
Mixed number:
12
1143
5000

Step 1: Identify the number of decimal places

The decimal 12.2286 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.2286 × 10000 = 122286

Step 3: Write as a fraction

12.2286 =

122286
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 122286 and 10000.

GCD(122286, 10000) = 2

Divide both the numerator and denominator by the GCD:

122286
10000

=

122286 ÷ 2
10000 ÷ 2

=

61143
5000
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