What is 3.59898 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 3.59898 into a fraction.

Answer: 3.59898 as a fraction equals 359898/100000 or 179949/50000

Here is the solution for converting 3.59898 to a fraction:

Step 1:

First, we write 3.59898 as  
3.59898/1

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!
3.59898/1
  =  
3.59898 x 100000/1 x 100000
  =  
359898/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 359898 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 359898 are: 1  2  3  6  7  11  14  19  21  22  33  38  41  42  57  66  77  82  114  123  133  154  209  231  246  266  287  399  418  451  462  574  627  779  798  861  902  1254  1353  1463  1558  1722  2337  2706  2926  3157  4389  4674  5453  6314  8569  8778  9471  10906  16359  17138  18942  25707  32718  51414  59983  119966  179949  359898 
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 359898 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.
359898/100000
  =  
359898 ÷ 2/100000 ÷ 2
  =  
179949/50000


Good work! We have just walked through the steps on how to represent 3.59898 as a fraction.

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