What is 5.19372 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 5.19372 into a fraction.

Answer: 5.19372 as a fraction equals 519372/100000 or 129843/25000

Here is the solution for converting 5.19372 to a fraction:

Step 1:

First, we write 5.19372 as  
5.19372/1

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!
5.19372/1
  =  
5.19372 x 100000/1 x 100000
  =  
519372/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 519372 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 519372 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  54  63  81  84  108  126  162  189  229  252  324  378  458  567  687  756  916  1134  1374  1603  2061  2268  2748  3206  4122  4809  6183  6412  8244  9618  12366  14427  18549  19236  24732  28854  37098  43281  57708  74196  86562  129843  173124  259686  519372 
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 519372 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.
519372/100000
  =  
519372 ÷ 4/100000 ÷ 4
  =  
129843/25000


Good work! We have just walked through the steps on how to represent 5.19372 as a fraction.

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