What is 2.28464 as a fraction?

Answer: 2.28464 as a fraction equals 228464/100000 or 14279/6250

Here is the solution for converting 2.28464 to a fraction:

Step 1:

First, we write 2.28464 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!

2.28464/1

  =  

2.28464 x 100000/1 x 100000

  =  

228464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 228464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 228464 are: 1  2  4  8  16  109  131  218  262  436  524  872  1048  1744  2096  14279  28558  57116  114232  228464 
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 228464 and 100000 that gives us a GCF value of: 16

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.

228464/100000

  =  

228464 ÷ 16/100000 ÷ 16

  =  

14279/6250

Good work! We have just walked through the steps on how to represent 2.28464 as a fraction.