Converting 3.9642 to a Fraction
Step-by-step explanation of how to convert 3.9642 to a fraction

Result

3.9642 =
19821
5000
Mixed number:
3
4821
5000

Step 1: Identify the number of decimal places

The decimal 3.9642 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.9642 × 10000 = 39642

Step 3: Write as a fraction

3.9642 =

39642
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39642 and 10000.

GCD(39642, 10000) = 2

Divide both the numerator and denominator by the GCD:

39642
10000

=

39642 ÷ 2
10000 ÷ 2

=

19821
5000
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