What is 2.13864 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 2.13864 into a fraction.

Answer: 2.13864 as a fraction equals 213864/100000 or 26733/12500

Here is the solution for converting 2.13864 to a fraction:

Step 1:

First, we write 2.13864 as  
2.13864/1

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!
2.13864/1
  =  
2.13864 x 100000/1 x 100000
  =  
213864/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 213864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 213864 are: 1  2  3  4  6  7  8  12  14  19  21  24  28  38  42  56  57  67  76  84  114  133  134  152  168  201  228  266  268  399  402  456  469  532  536  798  804  938  1064  1273  1407  1596  1608  1876  2546  2814  3192  3752  3819  5092  5628  7638  8911  10184  11256  15276  17822  26733  30552  35644  53466  71288  106932  213864 
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 213864 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.
213864/100000
  =  
213864 ÷ 8/100000 ÷ 8
  =  
26733/12500


Good work! We have just walked through the steps on how to represent 2.13864 as a fraction.

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