What is 5.89908 as a fraction?

Answer: 5.89908 as a fraction equals 589908/100000 or 147477/25000

Here is the solution for converting 5.89908 to a fraction:

Step 1:

First, we write 5.89908 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!

5.89908/1

  =  

5.89908 x 100000/1 x 100000

  =  

589908/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 589908 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 589908 are: 1  2  3  4  6  11  12  22  33  41  44  66  82  109  123  132  164  218  246  327  436  451  492  654  902  1199  1308  1353  1804  2398  2706  3597  4469  4796  5412  7194  8938  13407  14388  17876  26814  49159  53628  98318  147477  196636  294954  589908 
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 589908 and 100000 that gives us a GCF value of: 4

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.

589908/100000

  =  

589908 ÷ 4/100000 ÷ 4

  =  

147477/25000

Good work! We have just walked through the steps on how to represent 5.89908 as a fraction.