What is 0.93636 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 0.93636 into a fraction.

Answer: 0.93636 as a fraction equals 93636/100000 or 23409/25000

Here is the solution for converting 0.93636 to a fraction:

Step 1:

First, we write 0.93636 as  
0.93636/1

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!
0.93636/1
  =  
0.93636 x 100000/1 x 100000
  =  
93636/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 93636 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 93636 are: 1  2  3  4  6  9  12  17  18  27  34  36  51  54  68  81  102  108  153  162  204  289  306  324  459  578  612  867  918  1156  1377  1734  1836  2601  2754  3468  5202  5508  7803  10404  15606  23409  31212  46818  93636 
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 93636 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.
93636/100000
  =  
93636 ÷ 4/100000 ÷ 4
  =  
23409/25000


Good work! We have just walked through the steps on how to represent 0.93636 as a fraction.

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