Converting 14.225 to a Fraction
Step-by-step explanation of how to convert 14.225 to a fraction

Result

14.225 =
569
40
Mixed number:
14
9
40

Step 1: Identify the number of decimal places

The decimal 14.225 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

14.225 × 1000 = 14225

Step 3: Write as a fraction

14.225 =

14225
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14225 and 1000.

GCD(14225, 1000) = 25

Divide both the numerator and denominator by the GCD:

14225
1000

=

14225 ÷ 25
1000 ÷ 25

=

569
40
Related Conversions
Other decimal to fraction conversions you might find useful