Converting 3.9798 to a Fraction
Step-by-step explanation of how to convert 3.9798 to a fraction

Result

3.9798 =
19899
5000
Mixed number:
3
4899
5000

Step 1: Identify the number of decimal places

The decimal 3.9798 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.9798 × 10000 = 39798

Step 3: Write as a fraction

3.9798 =

39798
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39798 and 10000.

GCD(39798, 10000) = 2

Divide both the numerator and denominator by the GCD:

39798
10000

=

39798 ÷ 2
10000 ÷ 2

=

19899
5000
Related Conversions
Other decimal to fraction conversions you might find useful