Converting 14.2806 to a Fraction
Step-by-step explanation of how to convert 14.2806 to a fraction

Result

14.2806 =
71403
5000
Mixed number:
14
1403
5000

Step 1: Identify the number of decimal places

The decimal 14.2806 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.2806 × 10000 = 142806

Step 3: Write as a fraction

14.2806 =

142806
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 142806 and 10000.

GCD(142806, 10000) = 2

Divide both the numerator and denominator by the GCD:

142806
10000

=

142806 ÷ 2
10000 ÷ 2

=

71403
5000
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