What is 0.96525 as a fraction?

Answer: 0.96525 as a fraction equals 96525/100000 or 3861/4000

Here is the solution for converting 0.96525 to a fraction:

Step 1:

First, we write 0.96525 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!

0.96525/1

  =  

0.96525 x 100000/1 x 100000

  =  

96525/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 96525 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 96525 are: 1  3  5  9  11  13  15  25  27  33  39  45  55  65  75  99  117  135  143  165  195  225  275  297  325  351  429  495  585  675  715  825  975  1287  1485  1755  2145  2475  2925  3575  3861  6435  7425  8775  10725  19305  32175  96525 
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 96525 and 100000 that gives us a GCF value of: 25

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.

96525/100000

  =  

96525 ÷ 25/100000 ÷ 25

  =  

3861/4000

Good work! We have just walked through the steps on how to represent 0.96525 as a fraction.