What is 3.63636 as a fraction?

Answer: 3.63636 as a fraction equals 363636/100000 or 90909/25000

Here is the solution for converting 3.63636 to a fraction:

Step 1:

First, we write 3.63636 as  

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!

3.63636/1

  =  

3.63636 x 100000/1 x 100000

  =  

363636/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 363636 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 363636 are: 1  2  3  4  6  7  9  12  13  14  18  21  26  27  28  36  37  39  42  52  54  63  74  78  84  91  108  111  117  126  148  156  182  189  222  234  252  259  273  333  351  364  378  444  468  481  518  546  666  702  756  777  819  962  999  1036  1092  1332  1404  1443  1554  1638  1924  1998  2331  2457  2886  3108  3276  3367  3996  4329  4662  4914  5772  6734  6993  8658  9324  9828  10101  12987  13468  13986  17316  20202  25974  27972  30303  40404  51948  60606  90909  121212  181818  363636 
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 363636 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.

363636/100000

  =  

363636 ÷ 4/100000 ÷ 4

  =  

90909/25000

Good work! We have just walked through the steps on how to represent 3.63636 as a fraction.