What is 0.45276 as a fraction?

Answer: 0.45276 as a fraction equals 45276/100000 or 11319/25000

Here is the solution for converting 0.45276 to a fraction:

Step 1:

First, we write 0.45276 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!

0.45276/1

  =  

0.45276 x 100000/1 x 100000

  =  

45276/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 45276 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 45276 are: 1  2  3  4  6  7  11  12  14  21  22  28  33  42  44  49  66  77  84  98  132  147  154  196  231  294  308  343  462  539  588  686  924  1029  1078  1372  1617  2058  2156  3234  3773  4116  6468  7546  11319  15092  22638  45276 
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 45276 and 100000 that gives us a GCF value of: 4

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.

45276/100000

  =  

45276 ÷ 4/100000 ÷ 4

  =  

11319/25000

Good work! We have just walked through the steps on how to represent 0.45276 as a fraction.