Converting 3.1214 to a Fraction
Step-by-step explanation of how to convert 3.1214 to a fraction
Result
3.1214 =
15607
5000
Mixed number:
3
607
5000
Step 1: Identify the number of decimal places
The decimal 3.1214 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1214 × 10000 = 31214
Step 3: Write as a fraction
3.1214 =
31214
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31214 and 10000.
GCD(31214, 10000) = 2
Divide both the numerator and denominator by the GCD:
31214
10000
=
31214 ÷ 2
10000 ÷ 2
=
15607
5000
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