What is 1.09824 as a fraction?

Answer: 1.09824 as a fraction equals 109824/100000 or 3432/3125

Here is the solution for converting 1.09824 to a fraction:

Step 1:

First, we write 1.09824 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!

1.09824/1

  =  

1.09824 x 100000/1 x 100000

  =  

109824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 109824 are: 1  2  3  4  6  8  11  12  13  16  22  24  26  32  33  39  44  48  52  64  66  78  88  96  104  128  132  143  156  176  192  208  256  264  286  312  352  384  416  429  528  572  624  704  768  832  858  1056  1144  1248  1408  1664  1716  2112  2288  2496  2816  3328  3432  4224  4576  4992  6864  8448  9152  9984  13728  18304  27456  36608  54912  109824 
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 109824 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.

109824/100000

  =  

109824 ÷ 32/100000 ÷ 32

  =  

3432/3125

Good work! We have just walked through the steps on how to represent 1.09824 as a fraction.