What is 8.86275 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 8.86275 into a fraction.

Answer: 8.86275 as a fraction equals 886275/100000 or 35451/4000

Here is the solution for converting 8.86275 to a fraction:

Step 1:

First, we write 8.86275 as  
8.86275/1

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!
8.86275/1
  =  
8.86275 x 100000/1 x 100000
  =  
886275/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 886275 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 886275 are: 1  3  5  9  13  15  25  27  39  45  65  75  101  117  135  195  225  303  325  351  505  585  675  909  975  1313  1515  1755  2525  2727  2925  3939  4545  6565  7575  8775  11817  13635  19695  22725  32825  35451  59085  68175  98475  177255  295425  886275 
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 886275 and 100000 that gives us a GCF value of: 25

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.
886275/100000
  =  
886275 ÷ 25/100000 ÷ 25
  =  
35451/4000


Good work! We have just walked through the steps on how to represent 8.86275 as a fraction.

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