What is 2.37168 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 2.37168 into a fraction.

Answer: 2.37168 as a fraction equals 237168/100000 or 14823/6250

Here is the solution for converting 2.37168 to a fraction:

Step 1:

First, we write 2.37168 as  
2.37168/1

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!
2.37168/1
  =  
2.37168 x 100000/1 x 100000
  =  
237168/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 237168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 237168 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  61  72  81  108  122  144  162  183  216  243  244  324  366  432  486  488  549  648  732  972  976  1098  1296  1464  1647  1944  2196  2928  3294  3888  4392  4941  6588  8784  9882  13176  14823  19764  26352  29646  39528  59292  79056  118584  237168 
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 237168 and 100000 that gives us a GCF value of: 16

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.
237168/100000
  =  
237168 ÷ 16/100000 ÷ 16
  =  
14823/6250


Good work! We have just walked through the steps on how to represent 2.37168 as a fraction.

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