What is 2.36808 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 2.36808 into a fraction.

Answer: 2.36808 as a fraction equals 236808/100000 or 29601/12500

Here is the solution for converting 2.36808 to a fraction:

Step 1:

First, we write 2.36808 as  
2.36808/1

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!
2.36808/1
  =  
2.36808 x 100000/1 x 100000
  =  
236808/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 236808 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 236808 are: 1  2  3  4  6  8  9  11  12  13  18  22  23  24  26  33  36  39  44  46  52  66  69  72  78  88  92  99  104  117  132  138  143  156  184  198  207  234  253  264  276  286  299  312  396  414  429  468  506  552  572  598  759  792  828  858  897  936  1012  1144  1196  1287  1518  1656  1716  1794  2024  2277  2392  2574  2691  3036  3289  3432  3588  4554  5148  5382  6072  6578  7176  9108  9867  10296  10764  13156  18216  19734  21528  26312  29601  39468  59202  78936  118404  236808 
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 236808 and 100000 that gives us a GCF value of: 8

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.
236808/100000
  =  
236808 ÷ 8/100000 ÷ 8
  =  
29601/12500


Good work! We have just walked through the steps on how to represent 2.36808 as a fraction.

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