Converting 12.305 to a Fraction
Step-by-step explanation of how to convert 12.305 to a fraction

Result

12.305 =
2461
200
Mixed number:
12
61
200

Step 1: Identify the number of decimal places

The decimal 12.305 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.305 × 1000 = 12305

Step 3: Write as a fraction

12.305 =

12305
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12305 and 1000.

GCD(12305, 1000) = 5

Divide both the numerator and denominator by the GCD:

12305
1000

=

12305 ÷ 5
1000 ÷ 5

=

2461
200
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