What is 3.96648 as a fraction?

Answer: 3.96648 as a fraction equals 396648/100000 or 49581/12500

Here is the solution for converting 3.96648 to a fraction:

Step 1:

First, we write 3.96648 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!

3.96648/1

  =  

3.96648 x 100000/1 x 100000

  =  

396648/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 396648 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 396648 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  56  63  72  84  126  168  252  504  787  1574  2361  3148  4722  5509  6296  7083  9444  11018  14166  16527  18888  22036  28332  33054  44072  49581  56664  66108  99162  132216  198324  396648 
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 396648 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.

396648/100000

  =  

396648 ÷ 8/100000 ÷ 8

  =  

49581/12500

Good work! We have just walked through the steps on how to represent 3.96648 as a fraction.