What is 1.17936 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 1.17936 into a fraction.

Answer: 1.17936 as a fraction equals 117936/100000 or 7371/6250

Here is the solution for converting 1.17936 to a fraction:

Step 1:

First, we write 1.17936 as  
1.17936/1

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!
1.17936/1
  =  
1.17936 x 100000/1 x 100000
  =  
117936/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 117936 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 117936 are: 1  2  3  4  6  7  8  9  12  13  14  16  18  21  24  26  27  28  36  39  42  48  52  54  56  63  72  78  81  84  91  104  108  112  117  126  144  156  162  168  182  189  208  216  234  252  273  312  324  336  351  364  378  432  468  504  546  567  624  648  702  728  756  819  936  1008  1053  1092  1134  1296  1404  1456  1512  1638  1872  2106  2184  2268  2457  2808  3024  3276  4212  4368  4536  4914  5616  6552  7371  8424  9072  9828  13104  14742  16848  19656  29484  39312  58968  117936 
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 117936 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.
117936/100000
  =  
117936 ÷ 16/100000 ÷ 16
  =  
7371/6250


Good work! We have just walked through the steps on how to represent 1.17936 as a fraction.

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