Converting 14.2224 to a Fraction
Step-by-step explanation of how to convert 14.2224 to a fraction

Result

14.2224 =
8889
625
Mixed number:
14
139
625

Step 1: Identify the number of decimal places

The decimal 14.2224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.2224 × 10000 = 142224

Step 3: Write as a fraction

14.2224 =

142224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 142224 and 10000.

GCD(142224, 10000) = 16

Divide both the numerator and denominator by the GCD:

142224
10000

=

142224 ÷ 16
10000 ÷ 16

=

8889
625
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