What is 8.10744 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 8.10744 into a fraction.

Answer: 8.10744 as a fraction equals 810744/100000 or 101343/12500

Here is the solution for converting 8.10744 to a fraction:

Step 1:

First, we write 8.10744 as  
8.10744/1

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!
8.10744/1
  =  
8.10744 x 100000/1 x 100000
  =  
810744/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 810744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 810744 are: 1  2  3  4  6  8  11  12  22  24  33  37  44  66  74  83  88  111  132  148  166  222  249  264  296  332  407  444  498  664  814  888  913  996  1221  1628  1826  1992  2442  2739  3071  3256  3652  4884  5478  6142  7304  9213  9768  10956  12284  18426  21912  24568  33781  36852  67562  73704  101343  135124  202686  270248  405372  810744 
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 810744 and 100000 that gives us a GCF value of: 8

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.
810744/100000
  =  
810744 ÷ 8/100000 ÷ 8
  =  
101343/12500


Good work! We have just walked through the steps on how to represent 8.10744 as a fraction.

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