What is 0.93585 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 0.93585 into a fraction.

Answer: 0.93585 as a fraction equals 93585/100000 or 18717/20000

Here is the solution for converting 0.93585 to a fraction:

Step 1:

First, we write 0.93585 as  
0.93585/1

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!
0.93585/1
  =  
0.93585 x 100000/1 x 100000
  =  
93585/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 93585 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 93585 are: 1  3  5  15  17  51  85  255  367  1101  1835  5505  6239  18717  31195  93585 
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 93585 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.
93585/100000
  =  
93585 ÷ 5/100000 ÷ 5
  =  
18717/20000


Good work! We have just walked through the steps on how to represent 0.93585 as a fraction.

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