Converting 3.1395 to a Fraction
Step-by-step explanation of how to convert 3.1395 to a fraction

Result

3.1395 =
6279
2000
Mixed number:
3
279
2000

Step 1: Identify the number of decimal places

The decimal 3.1395 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1395 × 10000 = 31395

Step 3: Write as a fraction

3.1395 =

31395
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31395 and 10000.

GCD(31395, 10000) = 5

Divide both the numerator and denominator by the GCD:

31395
10000

=

31395 ÷ 5
10000 ÷ 5

=

6279
2000
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