What is 3.28185 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 3.28185 into a fraction.

Answer: 3.28185 as a fraction equals 328185/100000 or 65637/20000

Here is the solution for converting 3.28185 to a fraction:

Step 1:

First, we write 3.28185 as  
3.28185/1

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!
3.28185/1
  =  
3.28185 x 100000/1 x 100000
  =  
328185/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 328185 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 328185 are: 1  3  5  9  11  13  15  17  27  33  39  45  51  55  65  85  99  117  135  143  153  165  187  195  221  255  297  351  429  459  495  561  585  663  715  765  935  1105  1287  1485  1683  1755  1989  2145  2295  2431  2805  3315  3861  5049  5967  6435  7293  8415  9945  12155  19305  21879  25245  29835  36465  65637  109395  328185 
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 328185 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.
328185/100000
  =  
328185 ÷ 5/100000 ÷ 5
  =  
65637/20000


Good work! We have just walked through the steps on how to represent 3.28185 as a fraction.

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