What is 8.33028 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 8.33028 into a fraction.

Answer: 8.33028 as a fraction equals 833028/100000 or 208257/25000

Here is the solution for converting 8.33028 to a fraction:

Step 1:

First, we write 8.33028 as  
8.33028/1

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!
8.33028/1
  =  
8.33028 x 100000/1 x 100000
  =  
833028/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 833028 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 833028 are: 1  2  3  4  6  7  12  14  21  28  42  47  84  94  141  188  211  282  329  422  564  633  658  844  987  1266  1316  1477  1974  2532  2954  3948  4431  5908  8862  9917  17724  19834  29751  39668  59502  69419  119004  138838  208257  277676  416514  833028 
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 833028 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.
833028/100000
  =  
833028 ÷ 4/100000 ÷ 4
  =  
208257/25000


Good work! We have just walked through the steps on how to represent 8.33028 as a fraction.

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