What is 1.2288 as a fraction?

Answer: 1.2288 as a fraction equals 12288/10000 or 768/625

Here is the solution for converting 1.2288 to a fraction:

Step 1:

First, we write 1.2288 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!

1.2288/1

  =  

1.2288 x 10000/1 x 10000

  =  

12288/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12288 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 12288 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  128  192  256  384  512  768  1024  1536  2048  3072  4096  6144  12288 
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 12288 and 10000 that gives us a GCF value of: 16

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.

12288/10000

  =  

12288 ÷ 16/10000 ÷ 16

  =  

768/625

Good work! We have just walked through the steps on how to represent 1.2288 as a fraction.