What is 5.11728 as a fraction?

Answer: 5.11728 as a fraction equals 511728/100000 or 31983/6250

Here is the solution for converting 5.11728 to a fraction:

Step 1:

First, we write 5.11728 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!

5.11728/1

  =  

5.11728 x 100000/1 x 100000

  =  

511728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 511728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 511728 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  56  84  112  168  336  1523  3046  4569  6092  9138  10661  12184  18276  21322  24368  31983  36552  42644  63966  73104  85288  127932  170576  255864  511728 
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 511728 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.

511728/100000

  =  

511728 ÷ 16/100000 ÷ 16

  =  

31983/6250

Good work! We have just walked through the steps on how to represent 5.11728 as a fraction.