Converting 13.814 to a Fraction
Step-by-step explanation of how to convert 13.814 to a fraction

Result

13.814 =
6907
500
Mixed number:
13
407
500

Step 1: Identify the number of decimal places

The decimal 13.814 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.814 × 1000 = 13814

Step 3: Write as a fraction

13.814 =

13814
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13814 and 1000.

GCD(13814, 1000) = 2

Divide both the numerator and denominator by the GCD:

13814
1000

=

13814 ÷ 2
1000 ÷ 2

=

6907
500
Related Conversions
Other decimal to fraction conversions you might find useful