What is 5.39496 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 5.39496 into a fraction.

Answer: 5.39496 as a fraction equals 539496/100000 or 67437/12500

Here is the solution for converting 5.39496 to a fraction:

Step 1:

First, we write 5.39496 as  
5.39496/1

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!
5.39496/1
  =  
5.39496 x 100000/1 x 100000
  =  
539496/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 539496 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 539496 are: 1  2  3  4  6  8  9  12  18  24  36  59  72  118  127  177  236  254  354  381  472  508  531  708  762  1016  1062  1143  1416  1524  2124  2286  3048  4248  4572  7493  9144  14986  22479  29972  44958  59944  67437  89916  134874  179832  269748  539496 
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 539496 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.
539496/100000
  =  
539496 ÷ 8/100000 ÷ 8
  =  
67437/12500


Good work! We have just walked through the steps on how to represent 5.39496 as a fraction.

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