What is 2.28375 as a fraction?

Answer: 2.28375 as a fraction equals 228375/100000 or 1827/800

Here is the solution for converting 2.28375 to a fraction:

Step 1:

First, we write 2.28375 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!

2.28375/1

  =  

2.28375 x 100000/1 x 100000

  =  

228375/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 228375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 228375 are: 1  3  5  7  9  15  21  25  29  35  45  63  75  87  105  125  145  175  203  225  261  315  375  435  525  609  725  875  1015  1125  1305  1575  1827  2175  2625  3045  3625  5075  6525  7875  9135  10875  15225  25375  32625  45675  76125  228375 
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 228375 and 100000 that gives us a GCF value of: 125

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.

228375/100000

  =  

228375 ÷ 125/100000 ÷ 125

  =  

1827/800

Good work! We have just walked through the steps on how to represent 2.28375 as a fraction.