What is 8.49524 as a fraction?

Answer: 8.49524 as a fraction equals 849524/100000 or 212381/25000

Here is the solution for converting 8.49524 to a fraction:

Step 1:

First, we write 8.49524 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!

8.49524/1

  =  

8.49524 x 100000/1 x 100000

  =  

849524/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 849524 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 849524 are: 1  2  4  13  17  26  31  34  52  62  68  124  221  403  442  527  806  884  961  1054  1612  1922  2108  3844  6851  12493  13702  16337  24986  27404  32674  49972  65348  212381  424762  849524 
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 849524 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.

849524/100000

  =  

849524 ÷ 4/100000 ÷ 4

  =  

212381/25000

Good work! We have just walked through the steps on how to represent 8.49524 as a fraction.