What is 0.9288 as a fraction?

Answer: 0.9288 as a fraction equals 9288/10000 or 1161/1250

Here is the solution for converting 0.9288 to a fraction:

Step 1:

First, we write 0.9288 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!

0.9288/1

  =  

0.9288 x 10000/1 x 10000

  =  

9288/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 9288 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 9288 are: 1  2  3  4  6  8  9  12  18  24  27  36  43  54  72  86  108  129  172  216  258  344  387  516  774  1032  1161  1548  2322  3096  4644  9288 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 9288 and 10000 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.

9288/10000

  =  

9288 ÷ 8/10000 ÷ 8

  =  

1161/1250

Good work! We have just walked through the steps on how to represent 0.9288 as a fraction.