What is 0.95256 as a fraction?

Answer: 0.95256 as a fraction equals 95256/100000 or 11907/12500

Here is the solution for converting 0.95256 to a fraction:

Step 1:

First, we write 0.95256 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!

0.95256/1

  =  

0.95256 x 100000/1 x 100000

  =  

95256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 95256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 95256 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  27  28  36  42  49  54  56  63  72  81  84  98  108  126  147  162  168  189  196  216  243  252  294  324  378  392  441  486  504  567  588  648  756  882  972  1134  1176  1323  1512  1701  1764  1944  2268  2646  3402  3528  3969  4536  5292  6804  7938  10584  11907  13608  15876  23814  31752  47628  95256 
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 95256 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.

95256/100000

  =  

95256 ÷ 8/100000 ÷ 8

  =  

11907/12500

Good work! We have just walked through the steps on how to represent 0.95256 as a fraction.