What is 0.80256 as a fraction?

Answer: 0.80256 as a fraction equals 80256/100000 or 2508/3125

Here is the solution for converting 0.80256 to a fraction:

Step 1:

First, we write 0.80256 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!

0.80256/1

  =  

0.80256 x 100000/1 x 100000

  =  

80256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 80256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 80256 are: 1  2  3  4  6  8  11  12  16  19  22  24  32  33  38  44  48  57  64  66  76  88  96  114  128  132  152  176  192  209  228  264  304  352  384  418  456  528  608  627  704  836  912  1056  1216  1254  1408  1672  1824  2112  2432  2508  3344  3648  4224  5016  6688  7296  10032  13376  20064  26752  40128  80256 
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 80256 and 100000 that gives us a GCF value of: 32

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.

80256/100000

  =  

80256 ÷ 32/100000 ÷ 32

  =  

2508/3125

Good work! We have just walked through the steps on how to represent 0.80256 as a fraction.