What is 0.82368 as a fraction?

Answer: 0.82368 as a fraction equals 82368/100000 or 2574/3125

Here is the solution for converting 0.82368 to a fraction:

Step 1:

First, we write 0.82368 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!

0.82368/1

  =  

0.82368 x 100000/1 x 100000

  =  

82368/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82368 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82368 are: 1  2  3  4  6  8  9  11  12  13  16  18  22  24  26  32  33  36  39  44  48  52  64  66  72  78  88  96  99  104  117  132  143  144  156  176  192  198  208  234  264  286  288  312  352  396  416  429  468  528  572  576  624  704  792  832  858  936  1056  1144  1248  1287  1584  1716  1872  2112  2288  2496  2574  3168  3432  3744  4576  5148  6336  6864  7488  9152  10296  13728  20592  27456  41184  82368 
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 82368 and 100000 that gives us a GCF value of: 32

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.

82368/100000

  =  

82368 ÷ 32/100000 ÷ 32

  =  

2574/3125

Good work! We have just walked through the steps on how to represent 0.82368 as a fraction.