What is 0.40824 as a fraction?

Answer: 0.40824 as a fraction equals 40824/100000 or 5103/12500

Here is the solution for converting 0.40824 to a fraction:

Step 1:

First, we write 0.40824 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!

0.40824/1

  =  

0.40824 x 100000/1 x 100000

  =  

40824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 40824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 40824 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  27  28  36  42  54  56  63  72  81  84  108  126  162  168  189  216  243  252  324  378  486  504  567  648  729  756  972  1134  1458  1512  1701  1944  2268  2916  3402  4536  5103  5832  6804  10206  13608  20412  40824 
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 40824 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.

40824/100000

  =  

40824 ÷ 8/100000 ÷ 8

  =  

5103/12500

Good work! We have just walked through the steps on how to represent 0.40824 as a fraction.