Converting 3.1406 to a Fraction
Step-by-step explanation of how to convert 3.1406 to a fraction
Result
3.1406 =
15703
5000
Mixed number:
3
703
5000
Step 1: Identify the number of decimal places
The decimal 3.1406 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1406 × 10000 = 31406
Step 3: Write as a fraction
3.1406 =
31406
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31406 and 10000.
GCD(31406, 10000) = 2
Divide both the numerator and denominator by the GCD:
31406
10000
=
31406 ÷ 2
10000 ÷ 2
=
15703
5000
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