What is 1.09564 as a fraction?

Answer: 1.09564 as a fraction equals 109564/100000 or 27391/25000

Here is the solution for converting 1.09564 to a fraction:

Step 1:

First, we write 1.09564 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!

1.09564/1

  =  

1.09564 x 100000/1 x 100000

  =  

109564/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109564 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 109564 are: 1  2  4  7  13  14  26  28  43  49  52  86  91  98  172  182  196  301  364  559  602  637  1118  1204  1274  2107  2236  2548  3913  4214  7826  8428  15652  27391  54782  109564 
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 109564 and 100000 that gives us a GCF value of: 4

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.

109564/100000

  =  

109564 ÷ 4/100000 ÷ 4

  =  

27391/25000

Good work! We have just walked through the steps on how to represent 1.09564 as a fraction.