What is 1.79928 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 1.79928 into a fraction.

Answer: 1.79928 as a fraction equals 179928/100000 or 22491/12500

Here is the solution for converting 1.79928 to a fraction:

Step 1:

First, we write 1.79928 as  
1.79928/1

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!
1.79928/1
  =  
1.79928 x 100000/1 x 100000
  =  
179928/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 179928 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 179928 are: 1  2  3  4  6  7  8  9  12  14  17  18  21  24  27  28  34  36  42  49  51  54  56  63  68  72  84  98  102  108  119  126  136  147  153  168  189  196  204  216  238  252  294  306  357  378  392  408  441  459  476  504  588  612  714  756  833  882  918  952  1071  1176  1224  1323  1428  1512  1666  1764  1836  2142  2499  2646  2856  3213  3332  3528  3672  4284  4998  5292  6426  6664  7497  8568  9996  10584  12852  14994  19992  22491  25704  29988  44982  59976  89964  179928 
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 179928 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.
179928/100000
  =  
179928 ÷ 8/100000 ÷ 8
  =  
22491/12500


Good work! We have just walked through the steps on how to represent 1.79928 as a fraction.

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