What is 3.67164 as a fraction?

Answer: 3.67164 as a fraction equals 367164/100000 or 91791/25000

Here is the solution for converting 3.67164 to a fraction:

Step 1:

First, we write 3.67164 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!

3.67164/1

  =  

3.67164 x 100000/1 x 100000

  =  

367164/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 367164 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 367164 are: 1  2  3  4  6  7  9  12  14  18  21  28  31  36  42  47  62  63  84  93  94  124  126  141  186  188  217  252  279  282  329  372  423  434  558  564  651  658  846  868  987  1116  1302  1316  1457  1692  1953  1974  2604  2914  2961  3906  3948  4371  5828  5922  7812  8742  10199  11844  13113  17484  20398  26226  30597  40796  52452  61194  91791  122388  183582  367164 
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 367164 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.

367164/100000

  =  

367164 ÷ 4/100000 ÷ 4

  =  

91791/25000

Good work! We have just walked through the steps on how to represent 3.67164 as a fraction.