Converting 3.643128 to a Fraction
Step-by-step explanation of how to convert 3.643128 to a fraction

Result

3.643128 =
455391
125000
Mixed number:
3
80391
125000

Step 1: Identify the number of decimal places

The decimal 3.643128 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.643128 × 1000000 = 3643128

Step 3: Write as a fraction

3.643128 =

3643128
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3643128 and 1000000.

GCD(3643128, 1000000) = 8

Divide both the numerator and denominator by the GCD:

3643128
1000000

=

3643128 ÷ 8
1000000 ÷ 8

=

455391
125000
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