What is 0.98208 as a fraction?

Answer: 0.98208 as a fraction equals 98208/100000 or 3069/3125

Here is the solution for converting 0.98208 to a fraction:

Step 1:

First, we write 0.98208 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!

0.98208/1

  =  

0.98208 x 100000/1 x 100000

  =  

98208/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 98208 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  31  32  33  36  44  48  62  66  72  88  93  96  99  124  132  144  176  186  198  248  264  279  288  341  352  372  396  496  528  558  682  744  792  992  1023  1056  1116  1364  1488  1584  2046  2232  2728  2976  3069  3168  4092  4464  5456  6138  8184  8928  10912  12276  16368  24552  32736  49104  98208 
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 98208 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.

98208/100000

  =  

98208 ÷ 32/100000 ÷ 32

  =  

3069/3125

Good work! We have just walked through the steps on how to represent 0.98208 as a fraction.