What is 0.72096 as a fraction?

Answer: 0.72096 as a fraction equals 72096/100000 or 2253/3125

Here is the solution for converting 0.72096 to a fraction:

Step 1:

First, we write 0.72096 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!

0.72096/1

  =  

0.72096 x 100000/1 x 100000

  =  

72096/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 72096 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 72096 are: 1  2  3  4  6  8  12  16  24  32  48  96  751  1502  2253  3004  4506  6008  9012  12016  18024  24032  36048  72096 
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 72096 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.

72096/100000

  =  

72096 ÷ 32/100000 ÷ 32

  =  

2253/3125

Good work! We have just walked through the steps on how to represent 0.72096 as a fraction.