What is 3.02304 as a fraction?

Answer: 3.02304 as a fraction equals 302304/100000 or 9447/3125

Here is the solution for converting 3.02304 to a fraction:

Step 1:

First, we write 3.02304 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!

3.02304/1

  =  

3.02304 x 100000/1 x 100000

  =  

302304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 302304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 302304 are: 1  2  3  4  6  8  12  16  24  32  47  48  67  94  96  134  141  188  201  268  282  376  402  536  564  752  804  1072  1128  1504  1608  2144  2256  3149  3216  4512  6298  6432  9447  12596  18894  25192  37788  50384  75576  100768  151152  302304 
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 302304 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.

302304/100000

  =  

302304 ÷ 32/100000 ÷ 32

  =  

9447/3125

Good work! We have just walked through the steps on how to represent 3.02304 as a fraction.