What is 5.83704 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 5.83704 into a fraction.

Answer: 5.83704 as a fraction equals 583704/100000 or 72963/12500

Here is the solution for converting 5.83704 to a fraction:

Step 1:

First, we write 5.83704 as  
5.83704/1

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!
5.83704/1
  =  
5.83704 x 100000/1 x 100000
  =  
583704/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 583704 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 583704 are: 1  2  3  4  6  8  9  11  12  18  22  24  33  36  44  66  67  72  88  99  121  132  134  198  201  242  264  268  363  396  402  484  536  603  726  737  792  804  968  1089  1206  1452  1474  1608  2178  2211  2412  2904  2948  4356  4422  4824  5896  6633  8107  8712  8844  13266  16214  17688  24321  26532  32428  48642  53064  64856  72963  97284  145926  194568  291852  583704 
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 583704 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.
583704/100000
  =  
583704 ÷ 8/100000 ÷ 8
  =  
72963/12500


Good work! We have just walked through the steps on how to represent 5.83704 as a fraction.

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