What is 2.33226 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 2.33226 into a fraction.

Answer: 2.33226 as a fraction equals 233226/100000 or 116613/50000

Here is the solution for converting 2.33226 to a fraction:

Step 1:

First, we write 2.33226 as  
2.33226/1

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!
2.33226/1
  =  
2.33226 x 100000/1 x 100000
  =  
233226/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 233226 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 233226 are: 1  2  3  6  7  9  14  18  21  27  42  54  63  126  189  378  617  1234  1851  3702  4319  5553  8638  11106  12957  16659  25914  33318  38871  77742  116613  233226 
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 233226 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.
233226/100000
  =  
233226 ÷ 2/100000 ÷ 2
  =  
116613/50000


Good work! We have just walked through the steps on how to represent 2.33226 as a fraction.

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