Converting 14.4066 to a Fraction
Step-by-step explanation of how to convert 14.4066 to a fraction

Result

14.4066 =
72033
5000
Mixed number:
14
2033
5000

Step 1: Identify the number of decimal places

The decimal 14.4066 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.4066 × 10000 = 144066

Step 3: Write as a fraction

14.4066 =

144066
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 144066 and 10000.

GCD(144066, 10000) = 2

Divide both the numerator and denominator by the GCD:

144066
10000

=

144066 ÷ 2
10000 ÷ 2

=

72033
5000
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