What is 3.58904 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 3.58904 into a fraction.

Answer: 3.58904 as a fraction equals 358904/100000 or 44863/12500

Here is the solution for converting 3.58904 to a fraction:

Step 1:

First, we write 3.58904 as  
3.58904/1

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!
3.58904/1
  =  
3.58904 x 100000/1 x 100000
  =  
358904/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 358904 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 358904 are: 1  2  4  7  8  13  14  17  26  28  29  34  52  56  58  68  91  104  116  119  136  182  203  221  232  238  364  377  406  442  476  493  728  754  812  884  952  986  1508  1547  1624  1768  1972  2639  3016  3094  3451  3944  5278  6188  6409  6902  10556  12376  12818  13804  21112  25636  27608  44863  51272  89726  179452  358904 
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 358904 and 100000 that gives us a GCF value of: 8

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.
358904/100000
  =  
358904 ÷ 8/100000 ÷ 8
  =  
44863/12500


Good work! We have just walked through the steps on how to represent 3.58904 as a fraction.

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