What is 3.96708 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 3.96708 into a fraction.

Answer: 3.96708 as a fraction equals 396708/100000 or 99177/25000

Here is the solution for converting 3.96708 to a fraction:

Step 1:

First, we write 3.96708 as  
3.96708/1

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!
3.96708/1
  =  
3.96708 x 100000/1 x 100000
  =  
396708/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 396708 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 396708 are: 1  2  3  4  6  12  13  26  39  52  78  156  2543  5086  7629  10172  15258  30516  33059  66118  99177  132236  198354  396708 
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 396708 and 100000 that gives us a GCF value of: 4

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.
396708/100000
  =  
396708 ÷ 4/100000 ÷ 4
  =  
99177/25000


Good work! We have just walked through the steps on how to represent 3.96708 as a fraction.

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