What is 5.23776 as a fraction?

Answer: 5.23776 as a fraction equals 523776/100000 or 16368/3125

Here is the solution for converting 5.23776 to a fraction:

Step 1:

First, we write 5.23776 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!

5.23776/1

  =  

5.23776 x 100000/1 x 100000

  =  

523776/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 523776 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 523776 are: 1  2  3  4  6  8  11  12  16  22  24  31  32  33  44  48  62  64  66  88  93  96  124  128  132  176  186  192  248  256  264  341  352  372  384  496  512  528  682  704  744  768  992  1023  1056  1364  1408  1488  1536  1984  2046  2112  2728  2816  2976  3968  4092  4224  5456  5632  5952  7936  8184  8448  10912  11904  15872  16368  16896  21824  23808  32736  43648  47616  65472  87296  130944  174592  261888  523776 
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 523776 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.

523776/100000

  =  

523776 ÷ 32/100000 ÷ 32

  =  

16368/3125

Good work! We have just walked through the steps on how to represent 5.23776 as a fraction.