Converting 3.86404 to a Fraction
Step-by-step explanation of how to convert 3.86404 to a fraction

Result

3.86404 =
96601
25000
Mixed number:
3
21601
25000

Step 1: Identify the number of decimal places

The decimal 3.86404 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.86404 × 100000 = 386404

Step 3: Write as a fraction

3.86404 =

386404
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 386404 and 100000.

GCD(386404, 100000) = 4

Divide both the numerator and denominator by the GCD:

386404
100000

=

386404 ÷ 4
100000 ÷ 4

=

96601
25000
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