What is 3.07296 as a fraction?

Answer: 3.07296 as a fraction equals 307296/100000 or 9603/3125

Here is the solution for converting 3.07296 to a fraction:

Step 1:

First, we write 3.07296 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!

3.07296/1

  =  

3.07296 x 100000/1 x 100000

  =  

307296/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 307296 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 307296 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  32  33  36  44  48  66  72  88  96  97  99  132  144  176  194  198  264  288  291  352  388  396  528  582  776  792  873  1056  1067  1164  1552  1584  1746  2134  2328  3104  3168  3201  3492  4268  4656  6402  6984  8536  9312  9603  12804  13968  17072  19206  25608  27936  34144  38412  51216  76824  102432  153648  307296 
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 307296 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.

307296/100000

  =  

307296 ÷ 32/100000 ÷ 32

  =  

9603/3125

Good work! We have just walked through the steps on how to represent 3.07296 as a fraction.