What is 0.69084 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 0.69084 into a fraction.

Answer: 0.69084 as a fraction equals 69084/100000 or 17271/25000

Here is the solution for converting 0.69084 to a fraction:

Step 1:

First, we write 0.69084 as  
0.69084/1

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!
0.69084/1
  =  
0.69084 x 100000/1 x 100000
  =  
69084/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 69084 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 69084 are: 1  2  3  4  6  9  12  18  19  36  38  57  76  101  114  171  202  228  303  342  404  606  684  909  1212  1818  1919  3636  3838  5757  7676  11514  17271  23028  34542  69084 
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 69084 and 100000 that gives us a GCF value of: 4

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.
69084/100000
  =  
69084 ÷ 4/100000 ÷ 4
  =  
17271/25000


Good work! We have just walked through the steps on how to represent 0.69084 as a fraction.

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