What is 2.28906 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 2.28906 into a fraction.

Answer: 2.28906 as a fraction equals 228906/100000 or 114453/50000

Here is the solution for converting 2.28906 to a fraction:

Step 1:

First, we write 2.28906 as  
2.28906/1

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!
2.28906/1
  =  
2.28906 x 100000/1 x 100000
  =  
228906/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 228906 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 228906 are: 1  2  3  6  9  18  27  54  81  157  162  243  314  471  486  729  942  1413  1458  2826  4239  8478  12717  25434  38151  76302  114453  228906 
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 228906 and 100000 that gives us a GCF value of: 2

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.
228906/100000
  =  
228906 ÷ 2/100000 ÷ 2
  =  
114453/50000


Good work! We have just walked through the steps on how to represent 2.28906 as a fraction.

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