What is 3.43728 as a fraction?

Answer: 3.43728 as a fraction equals 343728/100000 or 21483/6250

Here is the solution for converting 3.43728 to a fraction:

Step 1:

First, we write 3.43728 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!

3.43728/1

  =  

3.43728 x 100000/1 x 100000

  =  

343728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 343728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 343728 are: 1  2  3  4  6  7  8  9  11  12  14  16  18  21  22  24  28  31  33  36  42  44  48  56  62  63  66  72  77  84  88  93  99  112  124  126  132  144  154  168  176  186  198  217  231  248  252  264  279  308  336  341  372  396  434  462  496  504  528  558  616  651  682  693  744  792  868  924  1008  1023  1116  1232  1302  1364  1386  1488  1584  1736  1848  1953  2046  2232  2387  2604  2728  2772  3069  3472  3696  3906  4092  4464  4774  5208  5456  5544  6138  7161  7812  8184  9548  10416  11088  12276  14322  15624  16368  19096  21483  24552  28644  31248  38192  42966  49104  57288  85932  114576  171864  343728 
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 343728 and 100000 that gives us a GCF value of: 16

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.

343728/100000

  =  

343728 ÷ 16/100000 ÷ 16

  =  

21483/6250

Good work! We have just walked through the steps on how to represent 3.43728 as a fraction.