What is 1.18104 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 1.18104 into a fraction.

Answer: 1.18104 as a fraction equals 118104/100000 or 14763/12500

Here is the solution for converting 1.18104 to a fraction:

Step 1:

First, we write 1.18104 as  
1.18104/1

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!
1.18104/1
  =  
1.18104 x 100000/1 x 100000
  =  
118104/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 118104 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 118104 are: 1  2  3  4  6  7  8  12  14  19  21  24  28  37  38  42  56  57  74  76  84  111  114  133  148  152  168  222  228  259  266  296  399  444  456  518  532  703  777  798  888  1036  1064  1406  1554  1596  2072  2109  2812  3108  3192  4218  4921  5624  6216  8436  9842  14763  16872  19684  29526  39368  59052  118104 
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 118104 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.
118104/100000
  =  
118104 ÷ 8/100000 ÷ 8
  =  
14763/12500


Good work! We have just walked through the steps on how to represent 1.18104 as a fraction.

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