Converting 14.4226 to a Fraction
Step-by-step explanation of how to convert 14.4226 to a fraction
Result
14.4226 =
72113
5000
Mixed number:
14
2113
5000
Step 1: Identify the number of decimal places
The decimal 14.4226 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.4226 × 10000 = 144226
Step 3: Write as a fraction
14.4226 =
144226
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 144226 and 10000.
GCD(144226, 10000) = 2
Divide both the numerator and denominator by the GCD:
144226
10000
=
144226 ÷ 2
10000 ÷ 2
=
72113
5000
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