What is 0.82782 as a fraction?

Answer: 0.82782 as a fraction equals 82782/100000 or 41391/50000

Here is the solution for converting 0.82782 to a fraction:

Step 1:

First, we write 0.82782 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!

0.82782/1

  =  

0.82782 x 100000/1 x 100000

  =  

82782/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82782 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82782 are: 1  2  3  6  7  9  14  18  21  27  42  54  63  73  81  126  146  162  189  219  378  438  511  567  657  1022  1134  1314  1533  1971  3066  3942  4599  5913  9198  11826  13797  27594  41391  82782 
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 82782 and 100000 that gives us a GCF value of: 2

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.

82782/100000

  =  

82782 ÷ 2/100000 ÷ 2

  =  

41391/50000

Good work! We have just walked through the steps on how to represent 0.82782 as a fraction.