Converting 4.14828 to a Fraction
Step-by-step explanation of how to convert 4.14828 to a fraction
Result
4.14828 =
103707
25000
Mixed number:
4
3707
25000
Step 1: Identify the number of decimal places
The decimal 4.14828 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.14828 × 100000 = 414828
Step 3: Write as a fraction
4.14828 =
414828
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 414828 and 100000.
GCD(414828, 100000) = 4
Divide both the numerator and denominator by the GCD:
414828
100000
=
414828 ÷ 4
100000 ÷ 4
=
103707
25000
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