What is 5.69504 as a fraction?

Answer: 5.69504 as a fraction equals 569504/100000 or 17797/3125

Here is the solution for converting 5.69504 to a fraction:

Step 1:

First, we write 5.69504 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!

5.69504/1

  =  

5.69504 x 100000/1 x 100000

  =  

569504/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 569504 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 569504 are: 1  2  4  8  13  16  26  32  37  52  74  104  148  208  296  416  481  592  962  1184  1369  1924  2738  3848  5476  7696  10952  15392  17797  21904  35594  43808  71188  142376  284752  569504 
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 569504 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.

569504/100000

  =  

569504 ÷ 32/100000 ÷ 32

  =  

17797/3125

Good work! We have just walked through the steps on how to represent 5.69504 as a fraction.