What is 0.9696 as a fraction?

Answer: 0.9696 as a fraction equals 9696/10000 or 606/625

Here is the solution for converting 0.9696 to a fraction:

Step 1:

First, we write 0.9696 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!

0.9696/1

  =  

0.9696 x 10000/1 x 10000

  =  

9696/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 9696 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 9696 are: 1  2  3  4  6  8  12  16  24  32  48  96  101  202  303  404  606  808  1212  1616  2424  3232  4848  9696 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 9696 and 10000 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.

9696/10000

  =  

9696 ÷ 16/10000 ÷ 16

  =  

606/625

Good work! We have just walked through the steps on how to represent 0.9696 as a fraction.