What is 0.85224 as a fraction?

Answer: 0.85224 as a fraction equals 85224/100000 or 10653/12500

Here is the solution for converting 0.85224 to a fraction:

Step 1:

First, we write 0.85224 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!

0.85224/1

  =  

0.85224 x 100000/1 x 100000

  =  

85224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 85224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 85224 are: 1  2  3  4  6  8  12  24  53  67  106  134  159  201  212  268  318  402  424  536  636  804  1272  1608  3551  7102  10653  14204  21306  28408  42612  85224 
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 85224 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.

85224/100000

  =  

85224 ÷ 8/100000 ÷ 8

  =  

10653/12500

Good work! We have just walked through the steps on how to represent 0.85224 as a fraction.