What is 6.84828 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 6.84828 into a fraction.

Answer: 6.84828 as a fraction equals 684828/100000 or 171207/25000

Here is the solution for converting 6.84828 to a fraction:

Step 1:

First, we write 6.84828 as  
6.84828/1

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!
6.84828/1
  =  
6.84828 x 100000/1 x 100000
  =  
684828/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 684828 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 684828 are: 1  2  3  4  6  9  12  17  18  27  34  36  51  54  68  102  108  153  204  306  373  459  612  746  918  1119  1492  1836  2238  3357  4476  6341  6714  10071  12682  13428  19023  20142  25364  38046  40284  57069  76092  114138  171207  228276  342414  684828 
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 684828 and 100000 that gives us a GCF value of: 4

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.
684828/100000
  =  
684828 ÷ 4/100000 ÷ 4
  =  
171207/25000


Good work! We have just walked through the steps on how to represent 6.84828 as a fraction.

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