What is 2.58944 as a fraction?

Answer: 2.58944 as a fraction equals 258944/100000 or 8092/3125

Here is the solution for converting 2.58944 to a fraction:

Step 1:

First, we write 2.58944 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!

2.58944/1

  =  

2.58944 x 100000/1 x 100000

  =  

258944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 258944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 258944 are: 1  2  4  7  8  14  16  17  28  32  34  56  64  68  112  119  128  136  224  238  272  289  448  476  544  578  896  952  1088  1156  1904  2023  2176  2312  3808  4046  4624  7616  8092  9248  15232  16184  18496  32368  36992  64736  129472  258944 
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 258944 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.

258944/100000

  =  

258944 ÷ 32/100000 ÷ 32

  =  

8092/3125

Good work! We have just walked through the steps on how to represent 2.58944 as a fraction.