What is 5.89764 as a fraction?

Answer: 5.89764 as a fraction equals 589764/100000 or 147441/25000

Here is the solution for converting 5.89764 to a fraction:

Step 1:

First, we write 5.89764 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!

5.89764/1

  =  

5.89764 x 100000/1 x 100000

  =  

589764/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 589764 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 589764 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  49  51  59  68  84  98  102  118  119  147  177  196  204  236  238  294  354  357  413  476  588  708  714  826  833  1003  1239  1428  1652  1666  2006  2478  2499  2891  3009  3332  4012  4956  4998  5782  6018  7021  8673  9996  11564  12036  14042  17346  21063  28084  34692  42126  49147  84252  98294  147441  196588  294882  589764 
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 589764 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.

589764/100000

  =  

589764 ÷ 4/100000 ÷ 4

  =  

147441/25000

Good work! We have just walked through the steps on how to represent 5.89764 as a fraction.