What is 5.89344 as a fraction?

Answer: 5.89344 as a fraction equals 589344/100000 or 18417/3125

Here is the solution for converting 5.89344 to a fraction:

Step 1:

First, we write 5.89344 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!

5.89344/1

  =  

5.89344 x 100000/1 x 100000

  =  

589344/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 589344 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 589344 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  112  168  224  336  672  877  1754  2631  3508  5262  6139  7016  10524  12278  14032  18417  21048  24556  28064  36834  42096  49112  73668  84192  98224  147336  196448  294672  589344 
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 589344 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.

589344/100000

  =  

589344 ÷ 32/100000 ÷ 32

  =  

18417/3125

Good work! We have just walked through the steps on how to represent 5.89344 as a fraction.