What is 2.89674 as a fraction?

Answer: 2.89674 as a fraction equals 289674/100000 or 144837/50000

Here is the solution for converting 2.89674 to a fraction:

Step 1:

First, we write 2.89674 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!

2.89674/1

  =  

2.89674 x 100000/1 x 100000

  =  

289674/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 289674 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 289674 are: 1  2  3  6  7  9  11  14  18  19  21  22  33  38  42  57  63  66  77  99  114  121  126  133  154  171  198  209  231  242  266  342  363  399  418  462  627  693  726  798  847  1089  1197  1254  1386  1463  1694  1881  2178  2299  2394  2541  2926  3762  4389  4598  5082  6897  7623  8778  13167  13794  15246  16093  20691  26334  32186  41382  48279  96558  144837  289674 
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 289674 and 100000 that gives us a GCF value of: 2

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.

289674/100000

  =  

289674 ÷ 2/100000 ÷ 2

  =  

144837/50000

Good work! We have just walked through the steps on how to represent 2.89674 as a fraction.