What is 0.9984 as a fraction?

Answer: 0.9984 as a fraction equals 9984/10000 or 624/625

Here is the solution for converting 0.9984 to a fraction:

Step 1:

First, we write 0.9984 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!

0.9984/1

  =  

0.9984 x 10000/1 x 10000

  =  

9984/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 9984 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 9984 are: 1  2  3  4  6  8  12  13  16  24  26  32  39  48  52  64  78  96  104  128  156  192  208  256  312  384  416  624  768  832  1248  1664  2496  3328  4992  9984 
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 9984 and 10000 that gives us a GCF value of: 16

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.

9984/10000

  =  

9984 ÷ 16/10000 ÷ 16

  =  

624/625

Good work! We have just walked through the steps on how to represent 0.9984 as a fraction.