What is 8.39496 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 8.39496 into a fraction.

Answer: 8.39496 as a fraction equals 839496/100000 or 104937/12500

Here is the solution for converting 8.39496 to a fraction:

Step 1:

First, we write 8.39496 as  
8.39496/1

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!
8.39496/1
  =  
8.39496 x 100000/1 x 100000
  =  
839496/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 839496 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 839496 are: 1  2  3  4  6  7  8  12  14  19  21  24  28  38  42  56  57  76  84  114  133  152  168  228  263  266  399  456  526  532  789  798  1052  1064  1578  1596  1841  2104  3156  3192  3682  4997  5523  6312  7364  9994  11046  14728  14991  19988  22092  29982  34979  39976  44184  59964  69958  104937  119928  139916  209874  279832  419748  839496 
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 839496 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.
839496/100000
  =  
839496 ÷ 8/100000 ÷ 8
  =  
104937/12500


Good work! We have just walked through the steps on how to represent 8.39496 as a fraction.

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