What is 0.71295 as a fraction?

Answer: 0.71295 as a fraction equals 71295/100000 or 14259/20000

Here is the solution for converting 0.71295 to a fraction:

Step 1:

First, we write 0.71295 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!

0.71295/1

  =  

0.71295 x 100000/1 x 100000

  =  

71295/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 71295 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 71295 are: 1  3  5  7  15  21  35  49  97  105  147  245  291  485  679  735  1455  2037  3395  4753  10185  14259  23765  71295 
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 71295 and 100000 that gives us a GCF value of: 5

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.

71295/100000

  =  

71295 ÷ 5/100000 ÷ 5

  =  

14259/20000

Good work! We have just walked through the steps on how to represent 0.71295 as a fraction.