What is 1.09662 as a fraction?

Answer: 1.09662 as a fraction equals 109662/100000 or 54831/50000

Here is the solution for converting 1.09662 to a fraction:

Step 1:

First, we write 1.09662 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!

1.09662/1

  =  

1.09662 x 100000/1 x 100000

  =  

109662/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109662 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 109662 are: 1  2  3  6  7  14  21  42  49  98  147  294  373  746  1119  2238  2611  5222  7833  15666  18277  36554  54831  109662 
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 109662 and 100000 that gives us a GCF value of: 2

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.

109662/100000

  =  

109662 ÷ 2/100000 ÷ 2

  =  

54831/50000

Good work! We have just walked through the steps on how to represent 1.09662 as a fraction.