Converting 3.6839 to a Fraction
Step-by-step explanation of how to convert 3.6839 to a fraction

Result

3.6839 =
36839
10000
Mixed number:
3
6839
10000

Step 1: Identify the number of decimal places

The decimal 3.6839 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6839 × 10000 = 36839

Step 3: Write as a fraction

3.6839 =

36839
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36839 and 10000.

GCD(36839, 10000) = 1

Divide both the numerator and denominator by the GCD:

36839
10000

=

36839 ÷ 1
10000 ÷ 1

=

36839
10000
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