Converting 12.3796 to a Fraction
Step-by-step explanation of how to convert 12.3796 to a fraction

Result

12.3796 =
30949
2500
Mixed number:
12
949
2500

Step 1: Identify the number of decimal places

The decimal 12.3796 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.3796 × 10000 = 123796

Step 3: Write as a fraction

12.3796 =

123796
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 123796 and 10000.

GCD(123796, 10000) = 4

Divide both the numerator and denominator by the GCD:

123796
10000

=

123796 ÷ 4
10000 ÷ 4

=

30949
2500
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