What is 1.72368 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 1.72368 into a fraction.

Answer: 1.72368 as a fraction equals 172368/100000 or 10773/6250

Here is the solution for converting 1.72368 to a fraction:

Step 1:

First, we write 1.72368 as  
1.72368/1

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!
1.72368/1
  =  
1.72368 x 100000/1 x 100000
  =  
172368/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 172368 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 172368 are: 1  2  3  4  6  7  8  9  12  14  16  18  19  21  24  27  28  36  38  42  48  54  56  57  63  72  76  81  84  108  112  114  126  133  144  152  162  168  171  189  216  228  252  266  304  324  336  342  378  399  432  456  504  513  532  567  648  684  756  798  912  1008  1026  1064  1134  1197  1296  1368  1512  1539  1596  2052  2128  2268  2394  2736  3024  3078  3192  3591  4104  4536  4788  6156  6384  7182  8208  9072  9576  10773  12312  14364  19152  21546  24624  28728  43092  57456  86184  172368 
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 172368 and 100000 that gives us a GCF value of: 16

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.
172368/100000
  =  
172368 ÷ 16/100000 ÷ 16
  =  
10773/6250


Good work! We have just walked through the steps on how to represent 1.72368 as a fraction.

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