What is 1.18296 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 1.18296 into a fraction.

Answer: 1.18296 as a fraction equals 118296/100000 or 14787/12500

Here is the solution for converting 1.18296 to a fraction:

Step 1:

First, we write 1.18296 as  
1.18296/1

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!
1.18296/1
  =  
1.18296 x 100000/1 x 100000
  =  
118296/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 118296 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 118296 are: 1  2  3  4  6  8  9  12  18  24  31  36  53  62  72  93  106  124  159  186  212  248  279  318  372  424  477  558  636  744  954  1116  1272  1643  1908  2232  3286  3816  4929  6572  9858  13144  14787  19716  29574  39432  59148  118296 
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 118296 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.
118296/100000
  =  
118296 ÷ 8/100000 ÷ 8
  =  
14787/12500


Good work! We have just walked through the steps on how to represent 1.18296 as a fraction.

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