What is 5.89744 as a fraction?

Answer: 5.89744 as a fraction equals 589744/100000 or 36859/6250

Here is the solution for converting 5.89744 to a fraction:

Step 1:

First, we write 5.89744 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!

5.89744/1

  =  

5.89744 x 100000/1 x 100000

  =  

589744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 589744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 589744 are: 1  2  4  8  16  29  31  41  58  62  82  116  124  164  232  248  328  464  496  656  899  1189  1271  1798  2378  2542  3596  4756  5084  7192  9512  10168  14384  19024  20336  36859  73718  147436  294872  589744 
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 589744 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.

589744/100000

  =  

589744 ÷ 16/100000 ÷ 16

  =  

36859/6250

Good work! We have just walked through the steps on how to represent 5.89744 as a fraction.