What is 3.58974 as a fraction?

Answer: 3.58974 as a fraction equals 358974/100000 or 179487/50000

Here is the solution for converting 3.58974 to a fraction:

Step 1:

First, we write 3.58974 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!

3.58974/1

  =  

3.58974 x 100000/1 x 100000

  =  

358974/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 358974 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 358974 are: 1  2  3  6  7  9  11  14  18  21  22  33  37  42  49  63  66  74  77  98  99  111  126  147  154  198  222  231  259  294  333  407  441  462  518  539  666  693  777  814  882  1078  1221  1386  1554  1617  1813  2331  2442  2849  3234  3626  3663  4662  4851  5439  5698  7326  8547  9702  10878  16317  17094  19943  25641  32634  39886  51282  59829  119658  179487  358974 
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 358974 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.

358974/100000

  =  

358974 ÷ 2/100000 ÷ 2

  =  

179487/50000

Good work! We have just walked through the steps on how to represent 3.58974 as a fraction.