What is 0.69615 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 0.69615 into a fraction.

Answer: 0.69615 as a fraction equals 69615/100000 or 13923/20000

Here is the solution for converting 0.69615 to a fraction:

Step 1:

First, we write 0.69615 as  
0.69615/1

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!
0.69615/1
  =  
0.69615 x 100000/1 x 100000
  =  
69615/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 69615 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 69615 are: 1  3  5  7  9  13  15  17  21  35  39  45  51  63  65  85  91  105  117  119  153  195  221  255  273  315  357  455  585  595  663  765  819  1071  1105  1365  1547  1785  1989  3315  4095  4641  5355  7735  9945  13923  23205  69615 
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 69615 and 100000 that gives us a GCF value of: 5

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.
69615/100000
  =  
69615 ÷ 5/100000 ÷ 5
  =  
13923/20000


Good work! We have just walked through the steps on how to represent 0.69615 as a fraction.

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