What is 3.02778 as a fraction?

Answer: 3.02778 as a fraction equals 302778/100000 or 151389/50000

Here is the solution for converting 3.02778 to a fraction:

Step 1:

First, we write 3.02778 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!

3.02778/1

  =  

3.02778 x 100000/1 x 100000

  =  

302778/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 302778 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 302778 are: 1  2  3  6  7  9  14  18  21  27  42  54  63  81  89  126  162  178  189  243  267  378  486  534  567  623  801  1134  1246  1602  1701  1869  2403  3402  3738  4806  5607  7209  11214  14418  16821  21627  33642  43254  50463  100926  151389  302778 
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 302778 and 100000 that gives us a GCF value of: 2

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.

302778/100000

  =  

302778 ÷ 2/100000 ÷ 2

  =  

151389/50000

Good work! We have just walked through the steps on how to represent 3.02778 as a fraction.