Converting 4.14005 to a Fraction
Step-by-step explanation of how to convert 4.14005 to a fraction
Result
4.14005 =
82801
20000
Mixed number:
4
2801
20000
Step 1: Identify the number of decimal places
The decimal 4.14005 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.14005 × 100000 = 414005
Step 3: Write as a fraction
4.14005 =
414005
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 414005 and 100000.
GCD(414005, 100000) = 5
Divide both the numerator and denominator by the GCD:
414005
100000
=
414005 ÷ 5
100000 ÷ 5
=
82801
20000
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