What is 1.08324 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 1.08324 into a fraction.

Answer: 1.08324 as a fraction equals 108324/100000 or 27081/25000

Here is the solution for converting 1.08324 to a fraction:

Step 1:

First, we write 1.08324 as  
1.08324/1

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!
1.08324/1
  =  
1.08324 x 100000/1 x 100000
  =  
108324/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 108324 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 108324 are: 1  2  3  4  6  9  12  17  18  27  34  36  51  54  59  68  102  108  118  153  177  204  236  306  354  459  531  612  708  918  1003  1062  1593  1836  2006  2124  3009  3186  4012  6018  6372  9027  12036  18054  27081  36108  54162  108324 
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 108324 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.
108324/100000
  =  
108324 ÷ 4/100000 ÷ 4
  =  
27081/25000


Good work! We have just walked through the steps on how to represent 1.08324 as a fraction.

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