What is 0.7776 as a fraction?

Answer: 0.7776 as a fraction equals 7776/10000 or 486/625

Here is the solution for converting 0.7776 to a fraction:

Step 1:

First, we write 0.7776 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!

0.7776/1

  =  

0.7776 x 10000/1 x 10000

  =  

7776/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7776 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 7776 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  72  81  96  108  144  162  216  243  288  324  432  486  648  864  972  1296  1944  2592  3888  7776 
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 7776 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.

7776/10000

  =  

7776 ÷ 16/10000 ÷ 16

  =  

486/625

Good work! We have just walked through the steps on how to represent 0.7776 as a fraction.