What is 2.33002 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 2.33002 into a fraction.

Answer: 2.33002 as a fraction equals 233002/100000 or 116501/50000

Here is the solution for converting 2.33002 to a fraction:

Step 1:

First, we write 2.33002 as  
2.33002/1

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!
2.33002/1
  =  
2.33002 x 100000/1 x 100000
  =  
233002/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 233002 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 233002 are: 1  2  7  11  14  17  22  34  77  89  119  154  178  187  238  374  623  979  1246  1309  1513  1958  2618  3026  6853  10591  13706  16643  21182  33286  116501  233002 
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 233002 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.
233002/100000
  =  
233002 ÷ 2/100000 ÷ 2
  =  
116501/50000


Good work! We have just walked through the steps on how to represent 2.33002 as a fraction.

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