What is 1.11996 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 1.11996 into a fraction.

Answer: 1.11996 as a fraction equals 111996/100000 or 27999/25000

Here is the solution for converting 1.11996 to a fraction:

Step 1:

First, we write 1.11996 as  
1.11996/1

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!
1.11996/1
  =  
1.11996 x 100000/1 x 100000
  =  
111996/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 111996 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 111996 are: 1  2  3  4  6  9  12  17  18  27  34  36  51  54  61  68  102  108  122  153  183  204  244  306  366  459  549  612  732  918  1037  1098  1647  1836  2074  2196  3111  3294  4148  6222  6588  9333  12444  18666  27999  37332  55998  111996 
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 111996 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.
111996/100000
  =  
111996 ÷ 4/100000 ÷ 4
  =  
27999/25000


Good work! We have just walked through the steps on how to represent 1.11996 as a fraction.

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