Converting 2.14225 to a Fraction
Step-by-step explanation of how to convert 2.14225 to a fraction
Result
2.14225 =
8569
4000
Mixed number:
2
569
4000
Step 1: Identify the number of decimal places
The decimal 2.14225 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.14225 × 100000 = 214225
Step 3: Write as a fraction
2.14225 =
214225
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214225 and 100000.
GCD(214225, 100000) = 25
Divide both the numerator and denominator by the GCD:
214225
100000
=
214225 ÷ 25
100000 ÷ 25
=
8569
4000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions