What is 4.32824 as a fraction?

Answer: 4.32824 as a fraction equals 432824/100000 or 54103/12500

Here is the solution for converting 4.32824 to a fraction:

Step 1:

First, we write 4.32824 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!

4.32824/1

  =  

4.32824 x 100000/1 x 100000

  =  

432824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 432824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 432824 are: 1  2  4  7  8  14  28  56  59  118  131  236  262  413  472  524  826  917  1048  1652  1834  3304  3668  7336  7729  15458  30916  54103  61832  108206  216412  432824 
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 432824 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.

432824/100000

  =  

432824 ÷ 8/100000 ÷ 8

  =  

54103/12500

Good work! We have just walked through the steps on how to represent 4.32824 as a fraction.