What is 3.02016 as a fraction?

Answer: 3.02016 as a fraction equals 302016/100000 or 9438/3125

Here is the solution for converting 3.02016 to a fraction:

Step 1:

First, we write 3.02016 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!

3.02016/1

  =  

3.02016 x 100000/1 x 100000

  =  

302016/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 302016 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 302016 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  121  132  143  156  176  192  208  242  264  286  312  352  363  416  429  484  528  572  624  704  726  832  858  968  1056  1144  1248  1452  1573  1716  1936  2112  2288  2496  2904  3146  3432  3872  4576  4719  5808  6292  6864  7744  9152  9438  11616  12584  13728  18876  23232  25168  27456  37752  50336  75504  100672  151008  302016 
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 302016 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.

302016/100000

  =  

302016 ÷ 32/100000 ÷ 32

  =  

9438/3125

Good work! We have just walked through the steps on how to represent 3.02016 as a fraction.