What is 2.83824 as a fraction?

Answer: 2.83824 as a fraction equals 283824/100000 or 17739/6250

Here is the solution for converting 2.83824 to a fraction:

Step 1:

First, we write 2.83824 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!

2.83824/1

  =  

2.83824 x 100000/1 x 100000

  =  

283824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 283824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 283824 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  73  81  108  144  146  162  216  219  243  292  324  432  438  486  584  648  657  876  972  1168  1296  1314  1752  1944  1971  2628  3504  3888  3942  5256  5913  7884  10512  11826  15768  17739  23652  31536  35478  47304  70956  94608  141912  283824 
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 283824 and 100000 that gives us a GCF value of: 16

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.

283824/100000

  =  

283824 ÷ 16/100000 ÷ 16

  =  

17739/6250

Good work! We have just walked through the steps on how to represent 2.83824 as a fraction.