Converting 12.3264 to a Fraction
Step-by-step explanation of how to convert 12.3264 to a fraction

Result

12.3264 =
7704
625
Mixed number:
12
204
625

Step 1: Identify the number of decimal places

The decimal 12.3264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.3264 × 10000 = 123264

Step 3: Write as a fraction

12.3264 =

123264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 123264 and 10000.

GCD(123264, 10000) = 16

Divide both the numerator and denominator by the GCD:

123264
10000

=

123264 ÷ 16
10000 ÷ 16

=

7704
625
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