What is 0.27216 as a fraction?

Answer: 0.27216 as a fraction equals 27216/100000 or 1701/6250

Here is the solution for converting 0.27216 to a fraction:

Step 1:

First, we write 0.27216 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!

0.27216/1

  =  

0.27216 x 100000/1 x 100000

  =  

27216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 27216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 27216 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  36  42  48  54  56  63  72  81  84  108  112  126  144  162  168  189  216  243  252  324  336  378  432  486  504  567  648  756  972  1008  1134  1296  1512  1701  1944  2268  3024  3402  3888  4536  6804  9072  13608  27216 
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 27216 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.

27216/100000

  =  

27216 ÷ 16/100000 ÷ 16

  =  

1701/6250

Good work! We have just walked through the steps on how to represent 0.27216 as a fraction.