What is 2.56272 as a fraction?

Answer: 2.56272 as a fraction equals 256272/100000 or 16017/6250

Here is the solution for converting 2.56272 to a fraction:

Step 1:

First, we write 2.56272 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!

2.56272/1

  =  

2.56272 x 100000/1 x 100000

  =  

256272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 256272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 256272 are: 1  2  3  4  6  8  12  16  19  24  38  48  57  76  114  152  228  281  304  456  562  843  912  1124  1686  2248  3372  4496  5339  6744  10678  13488  16017  21356  32034  42712  64068  85424  128136  256272 
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 256272 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.

256272/100000

  =  

256272 ÷ 16/100000 ÷ 16

  =  

16017/6250

Good work! We have just walked through the steps on how to represent 2.56272 as a fraction.