Converting 17.9808 to a Fraction
Step-by-step explanation of how to convert 17.9808 to a fraction

Result

17.9808 =
11238
625
Mixed number:
17
613
625

Step 1: Identify the number of decimal places

The decimal 17.9808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

17.9808 × 10000 = 179808

Step 3: Write as a fraction

17.9808 =

179808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 179808 and 10000.

GCD(179808, 10000) = 16

Divide both the numerator and denominator by the GCD:

179808
10000

=

179808 ÷ 16
10000 ÷ 16

=

11238
625
Related Conversions
Other decimal to fraction conversions you might find useful