What is 2.09808 as a fraction?

Answer: 2.09808 as a fraction equals 209808/100000 or 13113/6250

Here is the solution for converting 2.09808 to a fraction:

Step 1:

First, we write 2.09808 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!

2.09808/1

  =  

2.09808 x 100000/1 x 100000

  =  

209808/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 209808 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 209808 are: 1  2  3  4  6  8  9  12  16  18  24  31  36  47  48  62  72  93  94  124  141  144  186  188  248  279  282  372  376  423  496  558  564  744  752  846  1116  1128  1457  1488  1692  2232  2256  2914  3384  4371  4464  5828  6768  8742  11656  13113  17484  23312  26226  34968  52452  69936  104904  209808 
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 209808 and 100000 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.

209808/100000

  =  

209808 ÷ 16/100000 ÷ 16

  =  

13113/6250

Good work! We have just walked through the steps on how to represent 2.09808 as a fraction.