What is 0.7668 as a fraction?

Answer: 0.7668 as a fraction equals 7668/10000 or 1917/2500

Here is the solution for converting 0.7668 to a fraction:

Step 1:

First, we write 0.7668 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!

0.7668/1

  =  

0.7668 x 10000/1 x 10000

  =  

7668/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7668 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 7668 are: 1  2  3  4  6  9  12  18  27  36  54  71  108  142  213  284  426  639  852  1278  1917  2556  3834  7668 
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 7668 and 10000 that gives us a GCF value of: 4

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.

7668/10000

  =  

7668 ÷ 4/10000 ÷ 4

  =  

1917/2500

Good work! We have just walked through the steps on how to represent 0.7668 as a fraction.