Converting 14.3382 to a Fraction
Step-by-step explanation of how to convert 14.3382 to a fraction

Result

14.3382 =
71691
5000
Mixed number:
14
1691
5000

Step 1: Identify the number of decimal places

The decimal 14.3382 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.3382 × 10000 = 143382

Step 3: Write as a fraction

14.3382 =

143382
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 143382 and 10000.

GCD(143382, 10000) = 2

Divide both the numerator and denominator by the GCD:

143382
10000

=

143382 ÷ 2
10000 ÷ 2

=

71691
5000
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