Converting 16.1808 to a Fraction
Step-by-step explanation of how to convert 16.1808 to a fraction

Result

16.1808 =
10113
625
Mixed number:
16
113
625

Step 1: Identify the number of decimal places

The decimal 16.1808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.1808 × 10000 = 161808

Step 3: Write as a fraction

16.1808 =

161808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 161808 and 10000.

GCD(161808, 10000) = 16

Divide both the numerator and denominator by the GCD:

161808
10000

=

161808 ÷ 16
10000 ÷ 16

=

10113
625
Related Conversions
Other decimal to fraction conversions you might find useful