What is 0.9768 as a fraction?

Answer: 0.9768 as a fraction equals 9768/10000 or 1221/1250

Here is the solution for converting 0.9768 to a fraction:

Step 1:

First, we write 0.9768 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!

0.9768/1

  =  

0.9768 x 10000/1 x 10000

  =  

9768/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 9768 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 9768 are: 1  2  3  4  6  8  11  12  22  24  33  37  44  66  74  88  111  132  148  222  264  296  407  444  814  888  1221  1628  2442  3256  4884  9768 
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 9768 and 10000 that gives us a GCF value of: 8

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.

9768/10000

  =  

9768 ÷ 8/10000 ÷ 8

  =  

1221/1250

Good work! We have just walked through the steps on how to represent 0.9768 as a fraction.