What is 1.84184 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 1.84184 into a fraction.

Answer: 1.84184 as a fraction equals 184184/100000 or 23023/12500

Here is the solution for converting 1.84184 to a fraction:

Step 1:

First, we write 1.84184 as  
1.84184/1

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!
1.84184/1
  =  
1.84184 x 100000/1 x 100000
  =  
184184/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 184184 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 184184 are: 1  2  4  7  8  11  13  14  22  23  26  28  44  46  52  56  77  88  91  92  104  143  154  161  182  184  253  286  299  308  322  364  506  572  598  616  644  728  1001  1012  1144  1196  1288  1771  2002  2024  2093  2392  3289  3542  4004  4186  6578  7084  8008  8372  13156  14168  16744  23023  26312  46046  92092  184184 
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 184184 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.
184184/100000
  =  
184184 ÷ 8/100000 ÷ 8
  =  
23023/12500


Good work! We have just walked through the steps on how to represent 1.84184 as a fraction.

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