What is 3.05164 as a fraction?

Answer: 3.05164 as a fraction equals 305164/100000 or 76291/25000

Here is the solution for converting 3.05164 to a fraction:

Step 1:

First, we write 3.05164 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!

3.05164/1

  =  

3.05164 x 100000/1 x 100000

  =  

305164/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 305164 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 305164 are: 1  2  4  23  31  46  62  92  107  124  214  428  713  1426  2461  2852  3317  4922  6634  9844  13268  76291  152582  305164 
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 305164 and 100000 that gives us a GCF value of: 4

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.

305164/100000

  =  

305164 ÷ 4/100000 ÷ 4

  =  

76291/25000

Good work! We have just walked through the steps on how to represent 3.05164 as a fraction.