Converting 13.698 to a Fraction
Step-by-step explanation of how to convert 13.698 to a fraction

Result

13.698 =
6849
500
Mixed number:
13
349
500

Step 1: Identify the number of decimal places

The decimal 13.698 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.698 × 1000 = 13698

Step 3: Write as a fraction

13.698 =

13698
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13698 and 1000.

GCD(13698, 1000) = 2

Divide both the numerator and denominator by the GCD:

13698
1000

=

13698 ÷ 2
1000 ÷ 2

=

6849
500
Related Conversions
Other decimal to fraction conversions you might find useful