What is 2.21364 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 2.21364 into a fraction.

Answer: 2.21364 as a fraction equals 221364/100000 or 55341/25000

Here is the solution for converting 2.21364 to a fraction:

Step 1:

First, we write 2.21364 as  
2.21364/1

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!
2.21364/1
  =  
2.21364 x 100000/1 x 100000
  =  
221364/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 221364 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 221364 are: 1  2  3  4  6  9  11  12  13  18  22  26  33  36  39  43  44  52  66  78  86  99  117  129  132  143  156  172  198  234  258  286  387  396  429  468  473  516  559  572  774  858  946  1118  1287  1419  1548  1677  1716  1892  2236  2574  2838  3354  4257  5031  5148  5676  6149  6708  8514  10062  12298  17028  18447  20124  24596  36894  55341  73788  110682  221364 
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 221364 and 100000 that gives us a GCF value of: 4

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.
221364/100000
  =  
221364 ÷ 4/100000 ÷ 4
  =  
55341/25000


Good work! We have just walked through the steps on how to represent 2.21364 as a fraction.

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