Converting 3.1408 to a Fraction
Step-by-step explanation of how to convert 3.1408 to a fraction

Result

3.1408 =
1963
625
Mixed number:
3
88
625

Step 1: Identify the number of decimal places

The decimal 3.1408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1408 × 10000 = 31408

Step 3: Write as a fraction

3.1408 =

31408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31408 and 10000.

GCD(31408, 10000) = 16

Divide both the numerator and denominator by the GCD:

31408
10000

=

31408 ÷ 16
10000 ÷ 16

=

1963
625
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