Converting 3.1398 to a Fraction
Step-by-step explanation of how to convert 3.1398 to a fraction

Result

3.1398 =
15699
5000
Mixed number:
3
699
5000

Step 1: Identify the number of decimal places

The decimal 3.1398 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1398 × 10000 = 31398

Step 3: Write as a fraction

3.1398 =

31398
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31398 and 10000.

GCD(31398, 10000) = 2

Divide both the numerator and denominator by the GCD:

31398
10000

=

31398 ÷ 2
10000 ÷ 2

=

15699
5000
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