Converting 3.81465 to a Fraction
Step-by-step explanation of how to convert 3.81465 to a fraction

Result

3.81465 =
76293
20000
Mixed number:
3
16293
20000

Step 1: Identify the number of decimal places

The decimal 3.81465 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.81465 × 100000 = 381465

Step 3: Write as a fraction

3.81465 =

381465
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 381465 and 100000.

GCD(381465, 100000) = 5

Divide both the numerator and denominator by the GCD:

381465
100000

=

381465 ÷ 5
100000 ÷ 5

=

76293
20000
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