What is 2.22628 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 2.22628 into a fraction.

Answer: 2.22628 as a fraction equals 222628/100000 or 55657/25000

Here is the solution for converting 2.22628 to a fraction:

Step 1:

First, we write 2.22628 as  
2.22628/1

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!
2.22628/1
  =  
2.22628 x 100000/1 x 100000
  =  
222628/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 222628 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 222628 are: 1  2  4  7  14  28  7951  15902  31804  55657  111314  222628 
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 222628 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.
222628/100000
  =  
222628 ÷ 4/100000 ÷ 4
  =  
55657/25000


Good work! We have just walked through the steps on how to represent 2.22628 as a fraction.

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