What is 0.96288 as a fraction?

Answer: 0.96288 as a fraction equals 96288/100000 or 3009/3125

Here is the solution for converting 0.96288 to a fraction:

Step 1:

First, we write 0.96288 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!

0.96288/1

  =  

0.96288 x 100000/1 x 100000

  =  

96288/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 96288 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 96288 are: 1  2  3  4  6  8  12  16  17  24  32  34  48  51  59  68  96  102  118  136  177  204  236  272  354  408  472  544  708  816  944  1003  1416  1632  1888  2006  2832  3009  4012  5664  6018  8024  12036  16048  24072  32096  48144  96288 
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 96288 and 100000 that gives us a GCF value of: 32

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.

96288/100000

  =  

96288 ÷ 32/100000 ÷ 32

  =  

3009/3125

Good work! We have just walked through the steps on how to represent 0.96288 as a fraction.