What is 5.85816 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 5.85816 into a fraction.

Answer: 5.85816 as a fraction equals 585816/100000 or 73227/12500

Here is the solution for converting 5.85816 to a fraction:

Step 1:

First, we write 5.85816 as  
5.85816/1

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!
5.85816/1
  =  
5.85816 x 100000/1 x 100000
  =  
585816/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 585816 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 585816 are: 1  2  3  4  6  7  8  11  12  14  21  22  24  28  33  42  44  56  66  77  84  88  132  154  168  231  264  308  317  462  616  634  924  951  1268  1848  1902  2219  2536  3487  3804  4438  6657  6974  7608  8876  10461  13314  13948  17752  20922  24409  26628  27896  41844  48818  53256  73227  83688  97636  146454  195272  292908  585816 
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 585816 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.
585816/100000
  =  
585816 ÷ 8/100000 ÷ 8
  =  
73227/12500


Good work! We have just walked through the steps on how to represent 5.85816 as a fraction.

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