Converting 12.2364 to a Fraction
Step-by-step explanation of how to convert 12.2364 to a fraction

Result

12.2364 =
30591
2500
Mixed number:
12
591
2500

Step 1: Identify the number of decimal places

The decimal 12.2364 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.2364 × 10000 = 122364

Step 3: Write as a fraction

12.2364 =

122364
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 122364 and 10000.

GCD(122364, 10000) = 4

Divide both the numerator and denominator by the GCD:

122364
10000

=

122364 ÷ 4
10000 ÷ 4

=

30591
2500
Related Conversions
Other decimal to fraction conversions you might find useful