Converting 12.365 to a Fraction
Step-by-step explanation of how to convert 12.365 to a fraction

Result

12.365 =
2473
200
Mixed number:
12
73
200

Step 1: Identify the number of decimal places

The decimal 12.365 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.365 × 1000 = 12365

Step 3: Write as a fraction

12.365 =

12365
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12365 and 1000.

GCD(12365, 1000) = 5

Divide both the numerator and denominator by the GCD:

12365
1000

=

12365 ÷ 5
1000 ÷ 5

=

2473
200
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