What is 2.82555 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 2.82555 into a fraction.

Answer: 2.82555 as a fraction equals 282555/100000 or 56511/20000

Here is the solution for converting 2.82555 to a fraction:

Step 1:

First, we write 2.82555 as  
2.82555/1

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!
2.82555/1
  =  
2.82555 x 100000/1 x 100000
  =  
282555/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 282555 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 282555 are: 1  3  5  7  9  13  15  21  23  27  35  39  45  63  65  69  91  105  115  117  135  161  189  195  207  273  299  315  345  351  455  483  585  621  805  819  897  945  1035  1365  1449  1495  1755  2093  2415  2457  2691  3105  4095  4347  4485  6279  7245  8073  10465  12285  13455  18837  21735  31395  40365  56511  94185  282555 
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 282555 and 100000 that gives us a GCF value of: 5

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.
282555/100000
  =  
282555 ÷ 5/100000 ÷ 5
  =  
56511/20000


Good work! We have just walked through the steps on how to represent 2.82555 as a fraction.

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