What is 1.5984 as a fraction?

Answer: 1.5984 as a fraction equals 15984/10000 or 999/625

Here is the solution for converting 1.5984 to a fraction:

Step 1:

First, we write 1.5984 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!

1.5984/1

  =  

1.5984 x 10000/1 x 10000

  =  

15984/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 15984 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 15984 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  37  48  54  72  74  108  111  144  148  216  222  296  333  432  444  592  666  888  999  1332  1776  1998  2664  3996  5328  7992  15984 
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 15984 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.

15984/10000

  =  

15984 ÷ 16/10000 ÷ 16

  =  

999/625

Good work! We have just walked through the steps on how to represent 1.5984 as a fraction.