What is 0.83916 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 0.83916 into a fraction.

Answer: 0.83916 as a fraction equals 83916/100000 or 20979/25000

Here is the solution for converting 0.83916 to a fraction:

Step 1:

First, we write 0.83916 as  
0.83916/1

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!
0.83916/1
  =  
0.83916 x 100000/1 x 100000
  =  
83916/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 83916 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83916 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  37  42  54  63  74  81  84  108  111  126  148  162  189  222  252  259  324  333  378  444  518  567  666  756  777  999  1036  1134  1332  1554  1998  2268  2331  2997  3108  3996  4662  5994  6993  9324  11988  13986  20979  27972  41958  83916 
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 83916 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.
83916/100000
  =  
83916 ÷ 4/100000 ÷ 4
  =  
20979/25000


Good work! We have just walked through the steps on how to represent 0.83916 as a fraction.

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