What is 3.09016 as a fraction?

Answer: 3.09016 as a fraction equals 309016/100000 or 38627/12500

Here is the solution for converting 3.09016 to a fraction:

Step 1:

First, we write 3.09016 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!

3.09016/1

  =  

3.09016 x 100000/1 x 100000

  =  

309016/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 309016 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 309016 are: 1  2  4  8  19  38  76  107  152  214  361  428  722  856  1444  2033  2888  4066  8132  16264  38627  77254  154508  309016 
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 309016 and 100000 that gives us a GCF value of: 8

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.

309016/100000

  =  

309016 ÷ 8/100000 ÷ 8

  =  

38627/12500

Good work! We have just walked through the steps on how to represent 3.09016 as a fraction.