What is 0.67184 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 0.67184 into a fraction.

Answer: 0.67184 as a fraction equals 67184/100000 or 4199/6250

Here is the solution for converting 0.67184 to a fraction:

Step 1:

First, we write 0.67184 as  
0.67184/1

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!
0.67184/1
  =  
0.67184 x 100000/1 x 100000
  =  
67184/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 67184 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 67184 are: 1  2  4  8  13  16  17  19  26  34  38  52  68  76  104  136  152  208  221  247  272  304  323  442  494  646  884  988  1292  1768  1976  2584  3536  3952  4199  5168  8398  16796  33592  67184 
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 67184 and 100000 that gives us a GCF value of: 16

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.
67184/100000
  =  
67184 ÷ 16/100000 ÷ 16
  =  
4199/6250


Good work! We have just walked through the steps on how to represent 0.67184 as a fraction.

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