What is 3.22848 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 3.22848 into a fraction.

Answer: 3.22848 as a fraction equals 322848/100000 or 10089/3125

Here is the solution for converting 3.22848 to a fraction:

Step 1:

First, we write 3.22848 as  
3.22848/1

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!
3.22848/1
  =  
3.22848 x 100000/1 x 100000
  =  
322848/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 322848 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 322848 are: 1  2  3  4  6  8  9  12  16  18  19  24  32  36  38  48  57  59  72  76  96  114  118  144  152  171  177  228  236  288  304  342  354  456  472  531  608  684  708  912  944  1062  1121  1368  1416  1824  1888  2124  2242  2736  2832  3363  4248  4484  5472  5664  6726  8496  8968  10089  13452  16992  17936  20178  26904  35872  40356  53808  80712  107616  161424  322848 
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 322848 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.
322848/100000
  =  
322848 ÷ 32/100000 ÷ 32
  =  
10089/3125


Good work! We have just walked through the steps on how to represent 3.22848 as a fraction.

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