What is 3.63816 as a fraction?

Answer: 3.63816 as a fraction equals 363816/100000 or 45477/12500

Here is the solution for converting 3.63816 to a fraction:

Step 1:

First, we write 3.63816 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!

3.63816/1

  =  

3.63816 x 100000/1 x 100000

  =  

363816/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 363816 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 363816 are: 1  2  3  4  6  8  9  12  18  24  31  36  62  72  93  124  163  186  248  279  326  372  489  558  652  744  978  1116  1304  1467  1956  2232  2934  3912  5053  5868  10106  11736  15159  20212  30318  40424  45477  60636  90954  121272  181908  363816 
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 363816 and 100000 that gives us a GCF value of: 8

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.

363816/100000

  =  

363816 ÷ 8/100000 ÷ 8

  =  

45477/12500

Good work! We have just walked through the steps on how to represent 3.63816 as a fraction.