Converting 3.90675 to a Fraction
Step-by-step explanation of how to convert 3.90675 to a fraction

Result

3.90675 =
15627
4000
Mixed number:
3
3627
4000

Step 1: Identify the number of decimal places

The decimal 3.90675 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.90675 × 100000 = 390675

Step 3: Write as a fraction

3.90675 =

390675
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 390675 and 100000.

GCD(390675, 100000) = 25

Divide both the numerator and denominator by the GCD:

390675
100000

=

390675 ÷ 25
100000 ÷ 25

=

15627
4000
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