What is 2.37864 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 2.37864 into a fraction.

Answer: 2.37864 as a fraction equals 237864/100000 or 29733/12500

Here is the solution for converting 2.37864 to a fraction:

Step 1:

First, we write 2.37864 as  
2.37864/1

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!
2.37864/1
  =  
2.37864 x 100000/1 x 100000
  =  
237864/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 237864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 237864 are: 1  2  3  4  6  8  11  12  17  22  24  33  34  44  51  53  66  68  88  102  106  132  136  159  187  204  212  264  318  374  408  424  561  583  636  748  901  1122  1166  1272  1496  1749  1802  2244  2332  2703  3498  3604  4488  4664  5406  6996  7208  9911  10812  13992  19822  21624  29733  39644  59466  79288  118932  237864 
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 237864 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.
237864/100000
  =  
237864 ÷ 8/100000 ÷ 8
  =  
29733/12500


Good work! We have just walked through the steps on how to represent 2.37864 as a fraction.

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