Converting 3.96408 to a Fraction
Step-by-step explanation of how to convert 3.96408 to a fraction

Result

3.96408 =
49551
12500
Mixed number:
3
12051
12500

Step 1: Identify the number of decimal places

The decimal 3.96408 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.96408 × 100000 = 396408

Step 3: Write as a fraction

3.96408 =

396408
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 396408 and 100000.

GCD(396408, 100000) = 8

Divide both the numerator and denominator by the GCD:

396408
100000

=

396408 ÷ 8
100000 ÷ 8

=

49551
12500
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