What is 1.40184 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 1.40184 into a fraction.

Answer: 1.40184 as a fraction equals 140184/100000 or 17523/12500

Here is the solution for converting 1.40184 to a fraction:

Step 1:

First, we write 1.40184 as  
1.40184/1

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!
1.40184/1
  =  
1.40184 x 100000/1 x 100000
  =  
140184/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 140184 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 140184 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  33  36  44  54  59  66  72  88  99  108  118  132  177  198  216  236  264  297  354  396  472  531  594  649  708  792  1062  1188  1298  1416  1593  1947  2124  2376  2596  3186  3894  4248  5192  5841  6372  7788  11682  12744  15576  17523  23364  35046  46728  70092  140184 
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 140184 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.
140184/100000
  =  
140184 ÷ 8/100000 ÷ 8
  =  
17523/12500


Good work! We have just walked through the steps on how to represent 1.40184 as a fraction.

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