What is 0.97216 as a fraction?

Answer: 0.97216 as a fraction equals 97216/100000 or 3038/3125

Here is the solution for converting 0.97216 to a fraction:

Step 1:

First, we write 0.97216 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!

0.97216/1

  =  

0.97216 x 100000/1 x 100000

  =  

97216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 97216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97216 are: 1  2  4  7  8  14  16  28  31  32  49  56  62  64  98  112  124  196  217  224  248  392  434  448  496  784  868  992  1519  1568  1736  1984  3038  3136  3472  6076  6944  12152  13888  24304  48608  97216 
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 97216 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.

97216/100000

  =  

97216 ÷ 32/100000 ÷ 32

  =  

3038/3125

Good work! We have just walked through the steps on how to represent 0.97216 as a fraction.