What is 1.09536 as a fraction?

Answer: 1.09536 as a fraction equals 109536/100000 or 3423/3125

Here is the solution for converting 1.09536 to a fraction:

Step 1:

First, we write 1.09536 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!

1.09536/1

  =  

1.09536 x 100000/1 x 100000

  =  

109536/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109536 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 109536 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  112  163  168  224  326  336  489  652  672  978  1141  1304  1956  2282  2608  3423  3912  4564  5216  6846  7824  9128  13692  15648  18256  27384  36512  54768  109536 
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 109536 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.

109536/100000

  =  

109536 ÷ 32/100000 ÷ 32

  =  

3423/3125

Good work! We have just walked through the steps on how to represent 1.09536 as a fraction.