What is 3.21402 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 3.21402 into a fraction.

Answer: 3.21402 as a fraction equals 321402/100000 or 160701/50000

Here is the solution for converting 3.21402 to a fraction:

Step 1:

First, we write 3.21402 as  
3.21402/1

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!
3.21402/1
  =  
3.21402 x 100000/1 x 100000
  =  
321402/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 321402 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 321402 are: 1  2  3  6  17  23  34  46  51  69  102  137  138  274  391  411  782  822  1173  2329  2346  3151  4658  6302  6987  9453  13974  18906  53567  107134  160701  321402 
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 321402 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.
321402/100000
  =  
321402 ÷ 2/100000 ÷ 2
  =  
160701/50000


Good work! We have just walked through the steps on how to represent 3.21402 as a fraction.

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