Converting 3.1434 to a Fraction
Step-by-step explanation of how to convert 3.1434 to a fraction

Result

3.1434 =
15717
5000
Mixed number:
3
717
5000

Step 1: Identify the number of decimal places

The decimal 3.1434 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1434 × 10000 = 31434

Step 3: Write as a fraction

3.1434 =

31434
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31434 and 10000.

GCD(31434, 10000) = 2

Divide both the numerator and denominator by the GCD:

31434
10000

=

31434 ÷ 2
10000 ÷ 2

=

15717
5000
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