Converting 3.1422 to a Fraction
Step-by-step explanation of how to convert 3.1422 to a fraction

Result

3.1422 =
15711
5000
Mixed number:
3
711
5000

Step 1: Identify the number of decimal places

The decimal 3.1422 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1422 × 10000 = 31422

Step 3: Write as a fraction

3.1422 =

31422
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31422 and 10000.

GCD(31422, 10000) = 2

Divide both the numerator and denominator by the GCD:

31422
10000

=

31422 ÷ 2
10000 ÷ 2

=

15711
5000
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