What is 3.96324 as a fraction?

Answer: 3.96324 as a fraction equals 396324/100000 or 99081/25000

Here is the solution for converting 3.96324 to a fraction:

Step 1:

First, we write 3.96324 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!

3.96324/1

  =  

3.96324 x 100000/1 x 100000

  =  

396324/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 396324 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 396324 are: 1  2  3  4  6  9  12  18  36  101  109  202  218  303  327  404  436  606  654  909  981  1212  1308  1818  1962  3636  3924  11009  22018  33027  44036  66054  99081  132108  198162  396324 
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 396324 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.

396324/100000

  =  

396324 ÷ 4/100000 ÷ 4

  =  

99081/25000

Good work! We have just walked through the steps on how to represent 3.96324 as a fraction.