Converting 3.81384 to a Fraction
Step-by-step explanation of how to convert 3.81384 to a fraction

Result

3.81384 =
47673
12500
Mixed number:
3
10173
12500

Step 1: Identify the number of decimal places

The decimal 3.81384 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.81384 × 100000 = 381384

Step 3: Write as a fraction

3.81384 =

381384
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 381384 and 100000.

GCD(381384, 100000) = 8

Divide both the numerator and denominator by the GCD:

381384
100000

=

381384 ÷ 8
100000 ÷ 8

=

47673
12500
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