What is 0.28896 as a fraction?

Answer: 0.28896 as a fraction equals 28896/100000 or 903/3125

Here is the solution for converting 0.28896 to a fraction:

Step 1:

First, we write 0.28896 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!

0.28896/1

  =  

0.28896 x 100000/1 x 100000

  =  

28896/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 28896 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 28896 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  43  48  56  84  86  96  112  129  168  172  224  258  301  336  344  516  602  672  688  903  1032  1204  1376  1806  2064  2408  3612  4128  4816  7224  9632  14448  28896 
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 28896 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.

28896/100000

  =  

28896 ÷ 32/100000 ÷ 32

  =  

903/3125

Good work! We have just walked through the steps on how to represent 0.28896 as a fraction.