What is 2.75728 as a fraction?

Answer: 2.75728 as a fraction equals 275728/100000 or 17233/6250

Here is the solution for converting 2.75728 to a fraction:

Step 1:

First, we write 2.75728 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!

2.75728/1

  =  

2.75728 x 100000/1 x 100000

  =  

275728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 275728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 275728 are: 1  2  4  8  16  19  38  76  152  304  907  1814  3628  7256  14512  17233  34466  68932  137864  275728 
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 275728 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.

275728/100000

  =  

275728 ÷ 16/100000 ÷ 16

  =  

17233/6250

Good work! We have just walked through the steps on how to represent 2.75728 as a fraction.