What is 0.45864 as a fraction?

Answer: 0.45864 as a fraction equals 45864/100000 or 5733/12500

Here is the solution for converting 0.45864 to a fraction:

Step 1:

First, we write 0.45864 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!

0.45864/1

  =  

0.45864 x 100000/1 x 100000

  =  

45864/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 45864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 45864 are: 1  2  3  4  6  7  8  9  12  13  14  18  21  24  26  28  36  39  42  49  52  56  63  72  78  84  91  98  104  117  126  147  156  168  182  196  234  252  273  294  312  364  392  441  468  504  546  588  637  728  819  882  936  1092  1176  1274  1638  1764  1911  2184  2548  3276  3528  3822  5096  5733  6552  7644  11466  15288  22932  45864 
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 45864 and 100000 that gives us a GCF value of: 8

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.

45864/100000

  =  

45864 ÷ 8/100000 ÷ 8

  =  

5733/12500

Good work! We have just walked through the steps on how to represent 0.45864 as a fraction.