What is 5.66272 as a fraction?

Answer: 5.66272 as a fraction equals 566272/100000 or 17696/3125

Here is the solution for converting 5.66272 to a fraction:

Step 1:

First, we write 5.66272 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!

5.66272/1

  =  

5.66272 x 100000/1 x 100000

  =  

566272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 566272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 566272 are: 1  2  4  7  8  14  16  28  32  56  64  79  112  128  158  224  256  316  448  512  553  632  896  1024  1106  1264  1792  2212  2528  3584  4424  5056  7168  8848  10112  17696  20224  35392  40448  70784  80896  141568  283136  566272 
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 566272 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.

566272/100000

  =  

566272 ÷ 32/100000 ÷ 32

  =  

17696/3125

Good work! We have just walked through the steps on how to represent 5.66272 as a fraction.