What is 1.2768 as a fraction?

Answer: 1.2768 as a fraction equals 12768/10000 or 798/625

Here is the solution for converting 1.2768 to a fraction:

Step 1:

First, we write 1.2768 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!

1.2768/1

  =  

1.2768 x 10000/1 x 10000

  =  

12768/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12768 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 12768 are: 1  2  3  4  6  7  8  12  14  16  19  21  24  28  32  38  42  48  56  57  76  84  96  112  114  133  152  168  224  228  266  304  336  399  456  532  608  672  798  912  1064  1596  1824  2128  3192  4256  6384  12768 
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 12768 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.

12768/10000

  =  

12768 ÷ 16/10000 ÷ 16

  =  

798/625

Good work! We have just walked through the steps on how to represent 1.2768 as a fraction.