What is 2.89744 as a fraction?

Answer: 2.89744 as a fraction equals 289744/100000 or 18109/6250

Here is the solution for converting 2.89744 to a fraction:

Step 1:

First, we write 2.89744 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!

2.89744/1

  =  

2.89744 x 100000/1 x 100000

  =  

289744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 289744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 289744 are: 1  2  4  7  8  13  14  16  26  28  52  56  91  104  112  182  199  208  364  398  728  796  1393  1456  1592  2587  2786  3184  5174  5572  10348  11144  18109  20696  22288  36218  41392  72436  144872  289744 
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 289744 and 100000 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.

289744/100000

  =  

289744 ÷ 16/100000 ÷ 16

  =  

18109/6250

Good work! We have just walked through the steps on how to represent 2.89744 as a fraction.