Converting 13.965 to a Fraction
Step-by-step explanation of how to convert 13.965 to a fraction
Result
13.965 =
2793
200
Mixed number:
13
193
200
Step 1: Identify the number of decimal places
The decimal 13.965 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
13.965 × 1000 = 13965
Step 3: Write as a fraction
13.965 =
13965
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13965 and 1000.
GCD(13965, 1000) = 5
Divide both the numerator and denominator by the GCD:
13965
1000
=
13965 ÷ 5
1000 ÷ 5
=
2793
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions