Converting 3.81264 to a Fraction
Step-by-step explanation of how to convert 3.81264 to a fraction

Result

3.81264 =
23829
6250
Mixed number:
3
5079
6250

Step 1: Identify the number of decimal places

The decimal 3.81264 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.81264 × 100000 = 381264

Step 3: Write as a fraction

3.81264 =

381264
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 381264 and 100000.

GCD(381264, 100000) = 16

Divide both the numerator and denominator by the GCD:

381264
100000

=

381264 ÷ 16
100000 ÷ 16

=

23829
6250
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