What is 3.63258 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 3.63258 into a fraction.

Answer: 3.63258 as a fraction equals 363258/100000 or 181629/50000

Here is the solution for converting 3.63258 to a fraction:

Step 1:

First, we write 3.63258 as  
3.63258/1

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!
3.63258/1
  =  
3.63258 x 100000/1 x 100000
  =  
363258/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 363258 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 363258 are: 1  2  3  6  7  9  14  18  21  27  31  42  54  62  63  93  126  186  189  217  279  378  434  558  651  837  961  1302  1674  1922  1953  2883  3906  5766  5859  6727  8649  11718  13454  17298  20181  25947  40362  51894  60543  121086  181629  363258 
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 363258 and 100000 that gives us a GCF value of: 2

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.
363258/100000
  =  
363258 ÷ 2/100000 ÷ 2
  =  
181629/50000


Good work! We have just walked through the steps on how to represent 3.63258 as a fraction.

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