What is 1.22265 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 1.22265 into a fraction.

Answer: 1.22265 as a fraction equals 122265/100000 or 24453/20000

Here is the solution for converting 1.22265 to a fraction:

Step 1:

First, we write 1.22265 as  
1.22265/1

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!
1.22265/1
  =  
1.22265 x 100000/1 x 100000
  =  
122265/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 122265 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 122265 are: 1  3  5  9  11  13  15  19  33  39  45  55  57  65  95  99  117  143  165  171  195  209  247  285  429  495  585  627  715  741  855  1045  1235  1287  1881  2145  2223  2717  3135  3705  6435  8151  9405  11115  13585  24453  40755  122265 
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 122265 and 100000 that gives us a GCF value of: 5

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.
122265/100000
  =  
122265 ÷ 5/100000 ÷ 5
  =  
24453/20000


Good work! We have just walked through the steps on how to represent 1.22265 as a fraction.

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