Converting 14.4224 to a Fraction
Step-by-step explanation of how to convert 14.4224 to a fraction

Result

14.4224 =
9014
625
Mixed number:
14
264
625

Step 1: Identify the number of decimal places

The decimal 14.4224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.4224 × 10000 = 144224

Step 3: Write as a fraction

14.4224 =

144224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 144224 and 10000.

GCD(144224, 10000) = 16

Divide both the numerator and denominator by the GCD:

144224
10000

=

144224 ÷ 16
10000 ÷ 16

=

9014
625
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