What is 2.37006 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 2.37006 into a fraction.

Answer: 2.37006 as a fraction equals 237006/100000 or 118503/50000

Here is the solution for converting 2.37006 to a fraction:

Step 1:

First, we write 2.37006 as  
2.37006/1

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!
2.37006/1
  =  
2.37006 x 100000/1 x 100000
  =  
237006/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 237006 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 237006 are: 1  2  3  6  7  9  11  14  18  19  21  22  27  33  38  42  54  57  63  66  77  81  99  114  126  133  154  162  171  189  198  209  231  266  297  342  378  399  418  462  513  567  594  627  693  798  891  1026  1134  1197  1254  1386  1463  1539  1782  1881  2079  2394  2926  3078  3591  3762  4158  4389  5643  6237  7182  8778  10773  11286  12474  13167  16929  21546  26334  33858  39501  79002  118503  237006 
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 237006 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.
237006/100000
  =  
237006 ÷ 2/100000 ÷ 2
  =  
118503/50000


Good work! We have just walked through the steps on how to represent 2.37006 as a fraction.

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