Converting 3.1416 to a Fraction
Step-by-step explanation of how to convert 3.1416 to a fraction
Result
3.1416 =
3927
1250
Mixed number:
3
177
1250
Step 1: Identify the number of decimal places
The decimal 3.1416 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1416 × 10000 = 31416
Step 3: Write as a fraction
3.1416 =
31416
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31416 and 10000.
GCD(31416, 10000) = 8
Divide both the numerator and denominator by the GCD:
31416
10000
=
31416 ÷ 8
10000 ÷ 8
=
3927
1250
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