What is 0.83904 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 0.83904 into a fraction.

Answer: 0.83904 as a fraction equals 83904/100000 or 2622/3125

Here is the solution for converting 0.83904 to a fraction:

Step 1:

First, we write 0.83904 as  
0.83904/1

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!
0.83904/1
  =  
0.83904 x 100000/1 x 100000
  =  
83904/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 83904 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83904 are: 1  2  3  4  6  8  12  16  19  23  24  32  38  46  48  57  64  69  76  92  96  114  138  152  184  192  228  276  304  368  437  456  552  608  736  874  912  1104  1216  1311  1472  1748  1824  2208  2622  3496  3648  4416  5244  6992  10488  13984  20976  27968  41952  83904 
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 83904 and 100000 that gives us a GCF value of: 32

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.
83904/100000
  =  
83904 ÷ 32/100000 ÷ 32
  =  
2622/3125


Good work! We have just walked through the steps on how to represent 0.83904 as a fraction.

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