What is 0.83616 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 0.83616 into a fraction.

Answer: 0.83616 as a fraction equals 83616/100000 or 2613/3125

Here is the solution for converting 0.83616 to a fraction:

Step 1:

First, we write 0.83616 as  
0.83616/1

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!
0.83616/1
  =  
0.83616 x 100000/1 x 100000
  =  
83616/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 83616 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83616 are: 1  2  3  4  6  8  12  13  16  24  26  32  39  48  52  67  78  96  104  134  156  201  208  268  312  402  416  536  624  804  871  1072  1248  1608  1742  2144  2613  3216  3484  5226  6432  6968  10452  13936  20904  27872  41808  83616 
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 83616 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.
83616/100000
  =  
83616 ÷ 32/100000 ÷ 32
  =  
2613/3125


Good work! We have just walked through the steps on how to represent 0.83616 as a fraction.

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