What is 3.24324 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 3.24324 into a fraction.

Answer: 3.24324 as a fraction equals 324324/100000 or 81081/25000

Here is the solution for converting 3.24324 to a fraction:

Step 1:

First, we write 3.24324 as  
3.24324/1

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!
3.24324/1
  =  
3.24324 x 100000/1 x 100000
  =  
324324/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 324324 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 324324 are: 1  2  3  4  6  7  9  11  12  13  14  18  21  22  26  27  28  33  36  39  42  44  52  54  63  66  77  78  81  84  91  99  108  117  126  132  143  154  156  162  182  189  198  231  234  252  273  286  297  308  324  351  364  378  396  429  462  468  546  567  572  594  693  702  756  819  858  891  924  1001  1053  1092  1134  1188  1287  1386  1404  1638  1716  1782  2002  2079  2106  2268  2457  2574  2772  3003  3276  3564  3861  4004  4158  4212  4914  5148  6006  6237  7371  7722  8316  9009  9828  11583  12012  12474  14742  15444  18018  23166  24948  27027  29484  36036  46332  54054  81081  108108  162162  324324 
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 324324 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.
324324/100000
  =  
324324 ÷ 4/100000 ÷ 4
  =  
81081/25000


Good work! We have just walked through the steps on how to represent 3.24324 as a fraction.

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