What is 0.1998 as a fraction?

Answer: 0.1998 as a fraction equals 1998/10000 or 999/5000

Here is the solution for converting 0.1998 to a fraction:

Step 1:

First, we write 0.1998 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

0.1998/1

  =  

0.1998 x 10000/1 x 10000

  =  

1998/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1998 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 1998 are: 1  2  3  6  9  18  27  37  54  74  111  222  333  666  999  1998 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 1998 and 10000 that gives us a GCF value of: 2

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

1998/10000

  =  

1998 ÷ 2/10000 ÷ 2

  =  

999/5000

Good work! We have just walked through the steps on how to represent 0.1998 as a fraction.