What is 0.82836 as a fraction?

Answer: 0.82836 as a fraction equals 82836/100000 or 20709/25000

Here is the solution for converting 0.82836 to a fraction:

Step 1:

First, we write 0.82836 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!

0.82836/1

  =  

0.82836 x 100000/1 x 100000

  =  

82836/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82836 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82836 are: 1  2  3  4  6  9  12  13  18  26  27  36  39  52  54  59  78  108  117  118  156  177  234  236  351  354  468  531  702  708  767  1062  1404  1534  1593  2124  2301  3068  3186  4602  6372  6903  9204  13806  20709  27612  41418  82836 
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 82836 and 100000 that gives us a GCF value of: 4

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.

82836/100000

  =  

82836 ÷ 4/100000 ÷ 4

  =  

20709/25000

Good work! We have just walked through the steps on how to represent 0.82836 as a fraction.