What is 2.15072 as a fraction?

Answer: 2.15072 as a fraction equals 215072/100000 or 6721/3125

Here is the solution for converting 2.15072 to a fraction:

Step 1:

First, we write 2.15072 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!

2.15072/1

  =  

2.15072 x 100000/1 x 100000

  =  

215072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 215072 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 215072 are: 1  2  4  8  11  13  16  22  26  32  44  47  52  88  94  104  143  176  188  208  286  352  376  416  517  572  611  752  1034  1144  1222  1504  2068  2288  2444  4136  4576  4888  6721  8272  9776  13442  16544  19552  26884  53768  107536  215072 
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 215072 and 100000 that gives us a GCF value of: 32

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.

215072/100000

  =  

215072 ÷ 32/100000 ÷ 32

  =  

6721/3125

Good work! We have just walked through the steps on how to represent 2.15072 as a fraction.