Converting 3.14164 to a Fraction
Step-by-step explanation of how to convert 3.14164 to a fraction
Result
3.14164 =
78541
25000
Mixed number:
3
3541
25000
Step 1: Identify the number of decimal places
The decimal 3.14164 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.14164 × 100000 = 314164
Step 3: Write as a fraction
3.14164 =
314164
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314164 and 100000.
GCD(314164, 100000) = 4
Divide both the numerator and denominator by the GCD:
314164
100000
=
314164 ÷ 4
100000 ÷ 4
=
78541
25000
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