Converting 3.96128 to a Fraction
Step-by-step explanation of how to convert 3.96128 to a fraction

Result

3.96128 =
12379
3125
Mixed number:
3
3004
3125

Step 1: Identify the number of decimal places

The decimal 3.96128 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.96128 × 100000 = 396128

Step 3: Write as a fraction

3.96128 =

396128
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 396128 and 100000.

GCD(396128, 100000) = 32

Divide both the numerator and denominator by the GCD:

396128
100000

=

396128 ÷ 32
100000 ÷ 32

=

12379
3125
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