What is 1.13256 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 1.13256 into a fraction.

Answer: 1.13256 as a fraction equals 113256/100000 or 14157/12500

Here is the solution for converting 1.13256 to a fraction:

Step 1:

First, we write 1.13256 as  
1.13256/1

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!
1.13256/1
  =  
1.13256 x 100000/1 x 100000
  =  
113256/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 113256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 113256 are: 1  2  3  4  6  8  9  11  12  13  18  22  24  26  33  36  39  44  52  66  72  78  88  99  104  117  121  132  143  156  198  234  242  264  286  312  363  396  429  468  484  572  726  792  858  936  968  1089  1144  1287  1452  1573  1716  2178  2574  2904  3146  3432  4356  4719  5148  6292  8712  9438  10296  12584  14157  18876  28314  37752  56628  113256 
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 113256 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.
113256/100000
  =  
113256 ÷ 8/100000 ÷ 8
  =  
14157/12500


Good work! We have just walked through the steps on how to represent 1.13256 as a fraction.

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