What is 2.86944 as a fraction?

Answer: 2.86944 as a fraction equals 286944/100000 or 8967/3125

Here is the solution for converting 2.86944 to a fraction:

Step 1:

First, we write 2.86944 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!

2.86944/1

  =  

2.86944 x 100000/1 x 100000

  =  

286944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 286944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 286944 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  49  56  61  84  96  98  112  122  147  168  183  196  224  244  294  336  366  392  427  488  588  672  732  784  854  976  1176  1281  1464  1568  1708  1952  2352  2562  2928  2989  3416  4704  5124  5856  5978  6832  8967  10248  11956  13664  17934  20496  23912  35868  40992  47824  71736  95648  143472  286944 
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 286944 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.

286944/100000

  =  

286944 ÷ 32/100000 ÷ 32

  =  

8967/3125

Good work! We have just walked through the steps on how to represent 2.86944 as a fraction.