Converting 13.605 to a Fraction
Step-by-step explanation of how to convert 13.605 to a fraction

Result

13.605 =
2721
200
Mixed number:
13
121
200

Step 1: Identify the number of decimal places

The decimal 13.605 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.605 × 1000 = 13605

Step 3: Write as a fraction

13.605 =

13605
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13605 and 1000.

GCD(13605, 1000) = 5

Divide both the numerator and denominator by the GCD:

13605
1000

=

13605 ÷ 5
1000 ÷ 5

=

2721
200
Related Conversions
Other decimal to fraction conversions you might find useful