What is 0.83664 as a fraction?

Answer: 0.83664 as a fraction equals 83664/100000 or 5229/6250

Here is the solution for converting 0.83664 to a fraction:

Step 1:

First, we write 0.83664 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!

0.83664/1

  =  

0.83664 x 100000/1 x 100000

  =  

83664/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 83664 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83664 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  83  84  112  126  144  166  168  249  252  332  336  498  504  581  664  747  996  1008  1162  1328  1494  1743  1992  2324  2988  3486  3984  4648  5229  5976  6972  9296  10458  11952  13944  20916  27888  41832  83664 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 83664 and 100000 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.

83664/100000

  =  

83664 ÷ 16/100000 ÷ 16

  =  

5229/6250

Good work! We have just walked through the steps on how to represent 0.83664 as a fraction.