What is 2.82492 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 2.82492 into a fraction.

Answer: 2.82492 as a fraction equals 282492/100000 or 70623/25000

Here is the solution for converting 2.82492 to a fraction:

Step 1:

First, we write 2.82492 as  
2.82492/1

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!
2.82492/1
  =  
2.82492 x 100000/1 x 100000
  =  
282492/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 282492 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 282492 are: 1  2  3  4  6  7  9  12  14  18  19  21  28  36  38  42  57  59  63  76  84  114  118  126  133  171  177  228  236  252  266  342  354  399  413  531  532  684  708  798  826  1062  1121  1197  1239  1596  1652  2124  2242  2394  2478  3363  3717  4484  4788  4956  6726  7434  7847  10089  13452  14868  15694  20178  23541  31388  40356  47082  70623  94164  141246  282492 
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 282492 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.
282492/100000
  =  
282492 ÷ 4/100000 ÷ 4
  =  
70623/25000


Good work! We have just walked through the steps on how to represent 2.82492 as a fraction.

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