What is 1.73264 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 1.73264 into a fraction.

Answer: 1.73264 as a fraction equals 173264/100000 or 10829/6250

Here is the solution for converting 1.73264 to a fraction:

Step 1:

First, we write 1.73264 as  
1.73264/1

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!
1.73264/1
  =  
1.73264 x 100000/1 x 100000
  =  
173264/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 173264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 173264 are: 1  2  4  7  8  13  14  16  17  26  28  34  49  52  56  68  91  98  104  112  119  136  182  196  208  221  238  272  364  392  442  476  637  728  784  833  884  952  1274  1456  1547  1666  1768  1904  2548  3094  3332  3536  5096  6188  6664  10192  10829  12376  13328  21658  24752  43316  86632  173264 
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 173264 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.
173264/100000
  =  
173264 ÷ 16/100000 ÷ 16
  =  
10829/6250


Good work! We have just walked through the steps on how to represent 1.73264 as a fraction.

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