What is 0.83952 as a fraction?

Answer: 0.83952 as a fraction equals 83952/100000 or 5247/6250

Here is the solution for converting 0.83952 to a fraction:

Step 1:

First, we write 0.83952 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!

0.83952/1

  =  

0.83952 x 100000/1 x 100000

  =  

83952/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 83952 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83952 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  33  36  44  48  53  66  72  88  99  106  132  144  159  176  198  212  264  318  396  424  477  528  583  636  792  848  954  1166  1272  1584  1749  1908  2332  2544  3498  3816  4664  5247  6996  7632  9328  10494  13992  20988  27984  41976  83952 
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 83952 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.

83952/100000

  =  

83952 ÷ 16/100000 ÷ 16

  =  

5247/6250

Good work! We have just walked through the steps on how to represent 0.83952 as a fraction.