What is 0.85272 as a fraction?

Answer: 0.85272 as a fraction equals 85272/100000 or 10659/12500

Here is the solution for converting 0.85272 to a fraction:

Step 1:

First, we write 0.85272 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!

0.85272/1

  =  

0.85272 x 100000/1 x 100000

  =  

85272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 85272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 85272 are: 1  2  3  4  6  8  11  12  17  19  22  24  33  34  38  44  51  57  66  68  76  88  102  114  132  136  152  187  204  209  228  264  323  374  408  418  456  561  627  646  748  836  969  1122  1254  1292  1496  1672  1938  2244  2508  2584  3553  3876  4488  5016  7106  7752  10659  14212  21318  28424  42636  85272 
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 85272 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.

85272/100000

  =  

85272 ÷ 8/100000 ÷ 8

  =  

10659/12500

Good work! We have just walked through the steps on how to represent 0.85272 as a fraction.