Converting 18.405 to a Fraction
Step-by-step explanation of how to convert 18.405 to a fraction

Result

18.405 =
3681
200
Mixed number:
18
81
200

Step 1: Identify the number of decimal places

The decimal 18.405 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

18.405 × 1000 = 18405

Step 3: Write as a fraction

18.405 =

18405
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 18405 and 1000.

GCD(18405, 1000) = 5

Divide both the numerator and denominator by the GCD:

18405
1000

=

18405 ÷ 5
1000 ÷ 5

=

3681
200
Related Conversions
Other decimal to fraction conversions you might find useful