What is 0.46656 as a fraction?

Answer: 0.46656 as a fraction equals 46656/100000 or 1458/3125

Here is the solution for converting 0.46656 to a fraction:

Step 1:

First, we write 0.46656 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!

0.46656/1

  =  

0.46656 x 100000/1 x 100000

  =  

46656/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 46656 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 46656 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  64  72  81  96  108  144  162  192  216  243  288  324  432  486  576  648  729  864  972  1296  1458  1728  1944  2592  2916  3888  5184  5832  7776  11664  15552  23328  46656 
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 46656 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.

46656/100000

  =  

46656 ÷ 32/100000 ÷ 32

  =  

1458/3125

Good work! We have just walked through the steps on how to represent 0.46656 as a fraction.