What is 0.8064 as a fraction?

Answer: 0.8064 as a fraction equals 8064/10000 or 504/625

Here is the solution for converting 0.8064 to a fraction:

Step 1:

First, we write 0.8064 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!

0.8064/1

  =  

0.8064 x 10000/1 x 10000

  =  

8064/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8064 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 8064 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  32  36  42  48  56  63  64  72  84  96  112  126  128  144  168  192  224  252  288  336  384  448  504  576  672  896  1008  1152  1344  2016  2688  4032  8064 
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 8064 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.

8064/10000

  =  

8064 ÷ 16/10000 ÷ 16

  =  

504/625

Good work! We have just walked through the steps on how to represent 0.8064 as a fraction.