Converting 28.8384 to a Fraction
Step-by-step explanation of how to convert 28.8384 to a fraction

Result

28.8384 =
18024
625
Mixed number:
28
524
625

Step 1: Identify the number of decimal places

The decimal 28.8384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.8384 × 10000 = 288384

Step 3: Write as a fraction

28.8384 =

288384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 288384 and 10000.

GCD(288384, 10000) = 16

Divide both the numerator and denominator by the GCD:

288384
10000

=

288384 ÷ 16
10000 ÷ 16

=

18024
625
Related Conversions
Other decimal to fraction conversions you might find useful