Converting 12.2305 to a Fraction
Step-by-step explanation of how to convert 12.2305 to a fraction

Result

12.2305 =
24461
2000
Mixed number:
12
461
2000

Step 1: Identify the number of decimal places

The decimal 12.2305 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.2305 × 10000 = 122305

Step 3: Write as a fraction

12.2305 =

122305
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 122305 and 10000.

GCD(122305, 10000) = 5

Divide both the numerator and denominator by the GCD:

122305
10000

=

122305 ÷ 5
10000 ÷ 5

=

24461
2000
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