What is 3.9816 as a fraction?

Answer: 3.9816 as a fraction equals 39816/10000 or 4977/1250

Here is the solution for converting 3.9816 to a fraction:

Step 1:

First, we write 3.9816 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!

3.9816/1

  =  

3.9816 x 10000/1 x 10000

  =  

39816/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 39816 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 39816 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  56  63  72  79  84  126  158  168  237  252  316  474  504  553  632  711  948  1106  1422  1659  1896  2212  2844  3318  4424  4977  5688  6636  9954  13272  19908  39816 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 39816 and 10000 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.

39816/10000

  =  

39816 ÷ 8/10000 ÷ 8

  =  

4977/1250

Good work! We have just walked through the steps on how to represent 3.9816 as a fraction.