What is 1.8018 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 1.8018 into a fraction.

Answer: 1.8018 as a fraction equals 18018/10000 or 9009/5000

Here is the solution for converting 1.8018 to a fraction:

Step 1:

First, we write 1.8018 as  
1.8018/1

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!
1.8018/1
  =  
1.8018 x 10000/1 x 10000
  =  
18018/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 18018 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 18018 are: 1  2  3  6  7  9  11  13  14  18  21  22  26  33  39  42  63  66  77  78  91  99  117  126  143  154  182  198  231  234  273  286  429  462  546  693  819  858  1001  1287  1386  1638  2002  2574  3003  6006  9009  18018 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 18018 and 10000 that gives us a GCF value of: 2

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.
18018/10000
  =  
18018 ÷ 2/10000 ÷ 2
  =  
9009/5000


Good work! We have just walked through the steps on how to represent 1.8018 as a fraction.

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