What is 7.70796 as a fraction?

Answer: 7.70796 as a fraction equals 770796/100000 or 192699/25000

Here is the solution for converting 7.70796 to a fraction:

Step 1:

First, we write 7.70796 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!

7.70796/1

  =  

7.70796 x 100000/1 x 100000

  =  

770796/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 770796 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 770796 are: 1  2  3  4  6  9  12  13  18  26  27  36  39  52  54  61  78  81  108  117  122  156  162  183  234  243  244  324  351  366  468  486  549  702  732  793  972  1053  1098  1404  1586  1647  2106  2196  2379  3159  3172  3294  4212  4758  4941  6318  6588  7137  9516  9882  12636  14274  14823  19764  21411  28548  29646  42822  59292  64233  85644  128466  192699  256932  385398  770796 
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 770796 and 100000 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.

770796/100000

  =  

770796 ÷ 4/100000 ÷ 4

  =  

192699/25000

Good work! We have just walked through the steps on how to represent 7.70796 as a fraction.